A.V.Pushkin's approach based on conformal geometrodynamics (CGD) to calculation of quantitative relations between physical quantities is presented and analyzed. In the simplest cases of the stationary solutions to the CGD equations the approach implies separation of internal and external parts (relative to a certain boundary) from the solutions and using inverse transformations transforming the parts into each other. For the quasi-stationary (metastable) states, the possibility of the nonperturbative calculation of their lifetimes is shown. The approach is illustrated by several examples. In particular, it is shown that the Dirac ``large number hypothesis'' is a consequence of the approach. Also, the evaluated radiation lifetime of the first excited level of 2p hydrogen atom and neutron lifetime are presented.