Once you get to the Enlightenment, the way that powers get to be hyperpowers isn't just by conquest. It's through commerce and innovation. Societies like the Dutch Republic and the United States used tolerance to become a magnet for enterprising immigrants.
The most successful hyperpowers are the ones where there was actual intermixing. Tang dynasty China was China's golden age, and contrary to what I was told when I was growing up, Tang China was founded by a man who by today's standards was no more than half Chinese. It was a mixed-blood dynasty that pulled in 'barbarians' from the steppe.
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