Correct.

"But the court will sit, and his dominion will be taken away, annihilated and destroyed forever." Daniel 7:26 (NAS)

What are The Four Kingdoms (the Four Beasts)?

Compare the descriptions of the four kingdoms here in Daniel chapter 7...to the four kingdoms in Daniel chapter 2:

1st Kingdom - Babylonian Empire.		Head of gold identified as the king of Babylon (see Daniel 2:37-38)
2nd Kingdom - Medo-Persian Empire.		Arms and breast of silver identified as the next empire to arise (see Daniel 2:39) or the kingdom of the Medes & Persians (see Daniel 5:31 & 8:20).
3rd Kingdom - Greek Empire.		Belly and thighs of bronze identified as the next empire to arise (see Daniel 2:39) or the kingdom of Greece (see Daniel 8:21 & 10:20).
4th Kingdom - Roman Empire.		Legs of iron and feet of iron and clay are identified as the next empire to arise after Greece (see Daniel 2:39).  The only empire after Greece is the Roman Empire.

Are these four beasts the same kingdoms of Babylon, Medo-Persia, Greece and Rome?

Compare the descriptions of the fourth kingdom as they are described in Daniel 2 and Daniel 7:

Daniel 2:40-43 -- "And the fourth kingdom shall be strong as iron, forasmuch as iron breaketh in pieces and subdueth all things; and as iron that crusheth all these, shall it break in pieces and crush. And whereas thou sawest the feet and toes, part of potters' clay, and part of iron, it shall be a divided kingdom; but there shall be in it of the strength of the iron, forasmuch as thou sawest the iron mixed with miry clay. And as the toes of the feet were part of iron, and part of clay, so the kingdom shall be partly strong, and partly broken. And whereas thou sawest the iron mixed with miry clay, they shall mingle themselves with the seed of men; but they shall not cleave one to another, even as iron doth not mingle with clay." (ASV)

Daniel 7:7 -- "After this I saw in the night-visions, and, behold, a fourth beast, terrible and powerful, and strong exceedingly; and it had great iron teeth; it devoured and brake in pieces, and stamped the residue with its feet: and it was diverse from all the beasts that were before it; and it had ten horns. (ASV)

Both illustrations are of iron, with a crushing force.  Also both have ten appendages; the statue having presumably 10 toes and the beast having 10 horns.

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