The observed and theoretical results for the perihelion precession of planets are very close except for the planet Venus - observed value is about 204 arc seconds per century whereas theoretical value is more than 5 times higher. It is assumed that the main reason for this is that Venus has an unusually low eccentricity (e = 0.0068) so its perihelion point is very sensitive to small perturbations. But such an explanation is not convincing because eccentricities of Neptune (e = 0.0086) and Earth (e = 0.0167) are very low as well whereas theoretical results are much better. Within the mainstream theories, we cannot show the origin of the precession rate for Venus. The Scale-Symmetric Theory provides a different explanation for the discrepancy for Venus and leads to the value about 204.5 arc seconds per century. The correct solution follows from the origin of the Titius-Bode law for the modified black holes and solar system. We showed also that there is a resonance between the two values obtained by applying the two very different methods in calculating the precession rate of Mercury i.e. the Newtonian Mechanics plus the General-Relativity (GR) correction and the Scale-Symmetric Theory plus the PPN-formalism perihelion shift. In both methods, the central value is 574.6 arc seconds per century and is consistent with observational data. But we can calculate the total precession rates for Mercury and Venus within the Scale-Symmetric Theory without the participation of the PPN formalism or other theories. Then we obtain 574.36 arcsec/century for Mercury (this result is closer to the observational-data central value 574.10 +- 0.65 arcsec/century) and 204.44 arcsec/century for Venus.