I believe that your math is wrong because some of your numbers are percents and some are not, and because you divided instead of multiplying. If you are interested in the chance of death, you take the chance of cancer and multiply it by the chance of death given cancer.
So by this math, eating a quarter pound of red meat a day causes men in this worse case scenario to die 0.525% more often, which is a sixteen times higher rate than your calculated value.
Of course, that’s not how to actually do the relevant calculations, since (assuming no significant technology changes), everyone will eventually die. Thus you instead need to do calculations based on life expectancy, or better yet on QALY (quality adjusted life years), which adjusts for the quality of life that people live in addition to their age.
lifetime_risk_no_meat = 7% lifetime_risk_yes_meat = 7% + (7%30%) = 9.1% risk_of_death_given_cancer = 25% (lifetime_risk_yes_meat - lifetime_risk_no_meat) risk_of_death_given_cancer = 2.1%*25% = 0.00525 = 0.525%
So by this math, eating a quarter pound of red meat a day causes men in this worse case scenario to die 0.525% more often, which is a sixteen times higher rate than your calculated value.
Of course, that’s not how to actually do the relevant calculations, since (assuming no significant technology changes), everyone will eventually die. Thus you instead need to do calculations based on life expectancy, or better yet on QALY (quality adjusted life years), which adjusts for the quality of life that people live in addition to their age.