Immeasurably means to an extent too great to be measured. More than any number would capture.
It sits before a comparative, so immeasurably better and immeasurably richer are the standard shapes, and the word is doing emphasis rather than measurement. It is a strong claim, which is why it works best about things that genuinely resist counting, like grief, relief or the value of somebody's help. The adjective immeasurable is built from measurable with im- in front, the same pattern as impossible.
1adverbimmeasurablyTo a degree too great to be measured.
“The town is immeasurably better off for it.”
Middle English
inmesurable
English
immeasurable
English, today
immeasurably
From immeasurable + -ly. immeasurable comes from Middle English inmesurable, ynmesurable; equivalent to im- + measurable.
Etymology from Wiktionary, CC BY-SA