"If someone owned 100,000 shares of IPIX, what fraction of BeaMed would that be?"
0/0. Ownership of IPIX shares doesn't convey ownership in BeaMed. At one point it was said that IPIX owned ~40% of BeaMed. Someone who owns 100,000 shares of IPIX owns about 2/100 of 1% (.0002%) of IPIX.