I thought you were talking about the potential form and "do" was for "make", i.e. you meant "are able to make" by "are able to do".
子供たちの好奇心が満足する。
Children's curiosity is satisfied.
causative: 子供たちが(自分達の)好奇心を満足させる。
(Lit.) Children make their curiosity satisfied. (= Children satisfy their curiosity.)
potential causative: 子供たちが好奇心を満足させられる。
(Lit.) Children can make their curiosity satisfied. (= Children can satisfy their curiosity.)
The potential (of) causative form and the causative passive form are completely the same, since the causative ~せる/させる conjugates as an ichidan verb, and the potential form and the passive form are the same in ichidan verbs.
Incidentally, unlike causative passive, potential causative is not abbreviated(せられる --> される), thus, for instance, 行かされる is only used as the causative passive "to be made to go", and never used as the potential causative "to be able to make someone go".