Symmetries are everywhere. Take h(c/2)^4 for instance. It trots out at a meagre 0.334517782. Divide it by G and you have 16.72543913, the square root of which is 4.08967469; double it equals 8.179349394. Divide this by c and you arrive at the PLanck mass. Divide it into h and you get the Planck length. Square it and then divide by h and you get 1.009673924x10^35kg, the timescale mass of the kilogram/second.
The formula for the Planck mass is (hc/4G)^0.5; therefore, Gm^2 must equal hc/4 which is 4.966118653x10^-26. The reciprocal of this is 2.013645x10^25; the cube root is 2.72057667x10^8; multiply by 4 gives 1.088230668x10^9.
The proton mass divided by h/4 equals 1.009721668x10^7; 29.6906036 is the GM product where the Schwarzschild diameter is equal to the proton wavelength, 1.32141x10^-15m. 1.009721668x10^7x29.6906036=c.
Back to Gn: 4/(4x0.334517782)^0.3333rec equals 3.62994678. Multiply this by 1.009721668x10^7 equals 3.665236x10^7 the reciprocal of the planck mass. 3.665234x10^7 x 29.6906036=1.088230668x10^9.
And, (29.6906036/4)^3 = 408.9564915. Multiply this by 2x 3.62994678 and you get 2.968980566x10^3m, The Schwarzschild Radius of the Sunlike mass that is the master mass to the mass of the proton.