To me it's like the story of the Little Red Hen. The hen was industrious, she intended to make a cake. She planted the grain and other items, she harvested the fixings, she mixed the ingredients and cooked them, then decorated the cake and set the table. At each phase she asked the other farm animals to help, and in every case they all refused. However, when the cake was done and sitting on the table they all wanted to eat some. The Little Red Hen said no, she was capable of doing that all by herself too.
A parent want's to take care of their children, but a parent should not spoil them by doing so. You house, feed, clothe and guide them, but you don't want to stifle their individual growth either. I can see a multi-millionaire paying for the children's upkeep and education, and even putting a little away for them to help them start out in life. But that's all they need!
Let them go out and build their own lives. What? You'd prefer they end up like a Paris Hilton, a filthy rich wastrel with hired managers to keep them that way? LOL

Now, if any of the children show interest and aptitude for the family business, that's different...they are working toward their own success.
Otherwise a wealthy person should do what's best for the nation or society that allowed him to gather his wealth, reinvest it in ways that allow that nation to grow.