The following equation results
from the basic model 6.3.3:
7.3.1 Equation 
N_{ue} = N_{ze} ·
F_{u}
N_{ue} = A
· F_{sph }·
F_{gae }·
F_{Liz }· F_{u} 
Equation 7.3.1 contains all
planetary, biological and civilizing factors that can
influence the development of a civilization, by an
intelligent species, on an "Earth 2", in a
solarlike star system, in our galaxy.
It can be assumed that ancient civilizations emerge from
the multitude of space traveling civilizations. Therefore
F_{z} =
225:7,301 and F_{Liz}
= 1:4089.
Inserting all values (F_{e} = 0.1) into equation
7.3.1:
N_{ue1} = (100300)·10^{9} · 1:15,000
· 1:69 · 1:4089 · 1:6
N_{ue1}
= 4 – 12 „Earth 2“ with old civilizations
Inserting all values (F_{e} = 0.01) into equation
7.3.1:
N_{ue2} = (100300)·10^{9} · 1:15,000
· 1:691 · 1:4089 · 1:6
N_{ue2}
= 1 – 2 „Earth 2“ with old civilizations
The two results can then be summarized to the following
statement:
7.3.2 Theorem 
There
could be between 1 to 12 old technological
civilizations, on an "Earth 2", in a
solarlike star system, in our galaxy. 
The probability of a habitable
"Earth 2" with an old technological
civilization in solarlike star systems, in our galaxy,
is then:
7.3.3 Definition 
F_{ue} = F_{sph}
· F_{gae }·
F_{Liz }· F_{u} 
F_{ue} = F_{sph}·F_{gae}·F_{Liz}· F_{u}
F_{ue} = 1:15,000 · (1:691:691) · 1:4089 · 1:6
F_{ue} = 1:25,392,690,000 – 1:254,294,910,000
Only every 25.392  254.294 billionth
star system has an "Earth 2" with an old
technological civilization.
