High order multiple births are a choice when using fertility drugs, not an uncontrollable result. It's nearly always a case of people trying to save money by proceeding with insemination (in the case of non-IVF cycles), or by transferring too many embryos back in (in the case of IVF cycles). People decide they'd rather risk having a bunch of babies, than risk having none and having to pay for another cycle. Insurance companies could go a long way in eliminating this problem (if government regulators didn't stop them, which they probably would, or maybe have already).
If insurers who cover fertility treatment would set strict limits on number of follicles for IUI, or number of embryos transferred for IVF, and flatly deny coverage to either the mother or the babies if these limits are violated, more people would figure out that this is a really stupid gamble they're taking. Even insurers who don't cover the fertility treatments are still getting hit with huge bills for the mothers' complicated pregnancies and the babies inevitable health problems.
The technology is already there to prevent multiples, and especially high order multiples. But as long as the people taking the gambles aren't the ones doing the bulk of the paying for bad results, the problem will continue.
I agree.