OseeSince several persons have said here ultimate as a verb just means "bring about," I do not think ultimate is the very right word
No, it is certainly not the right word. Not only is the meaning not right for that context, but no one will know what you're talking about anyway because the word is so rarely used in modern English.
Suggestions:
Let's take this experiment to the limit.
Let's take this experiment to the maximum.
Let's increase the dosage to the maximum.
It will be difficult, I suspect, to find a single verb that communicates what you want and is still idiomatic.
Let's enlarge this experiment, Let's increase this experiment, and Let's exaggerate this experiment are not quite idiomatic enough to be useful (although exaggerate isn't too bad a choice).
Others will have more and better suggestions, I'm sure.
CJ