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your math is still off, by virtue of the argument of wealth being disproportionate.
Even if there is equal population growth among social classes, you have a 1%, a middle class and a lower class. By your argument, this is not 1/1/1 ratio. It is a 1/3/9 ratio at best. So each generation you have 1*2/3*2/9*2, which leads to 2/6/18. After another generation it would be 4/12/36. The 2-6-18 ratio is not entirely accurate, but it easily shows the fallacy of this entire argument.
edit: the age of of being a parent throws off that ratio further. Average lower class person being a teenager or early 20s, as you highlighted, vs the older, upper class person.
edit:
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None of which supports your earlier argument about why income distribution is skewing more heavily to the top 1%.
