"Let C(n) denote the number of Carmichael numbers less than n. ... The upper bound C(n)<n*exp(-(lnnlnlnlnn)/(lnlnn)) (4) has also been proved (R. G. E. Pinch)."

"Let C(n) denote the number of Carmichael numbers less than n. ... The upper bound C(n)<n*exp(-(lnnlnlnlnn)/(lnlnn)) (4) has also been proved (R. G. E. Pinch)." So that ratio isn't constant. Key is "...of very large numbers...". Clearly larger than 100,000,000.