... my FA3 Lesson Notes, for the following passage:
"Regardless of how earnings relate to share price, higher earnings are considered more desirable than lower earnings".
It is worth noting that the same module provides a calculation of the price-earnings ratio (market price / earnings per share). And then, in the following sentence, states:
"To obtain market price, earnings per share is multiplied by the price-earnings ratio".
Hence, my FA3 Lesson Notes also win the award for "circular reasoning". (But thank you for that riveting example of cross-multiplication, which I think was first covered in grade 3.)