Where does that info come from? I went to school with people whose wealth can be traced back more than 20 generations. They didn't seem to getting poorer.
Do you have data that isn't a blatant ad campaign consisting of pithy statements from a wealth management company trying to scare people into letting them manage their money?
Something like 65% of all land in the UK is owned by the same families that owned it in the Norman conquest. 0.3% of the population today. Since 1066-1100.
The stat you quote may apply to some broader definition of “wealthy”, but for the true 0.1% - 0.01% it is truly eternal, and accelerating.
Growing your wealth requires taking on risk: your investments may not turn out well.