${10}^9=10\cdot 10\cdot 10\cdot 10\cdot 10\cdot 10\cdot 10\cdot 10\cdot 10=1000000000$  

Skoro 1 gigasekunda to 10⁹, czyli 1 000 000 000 sekund, to 3,78432 gigasekundy to

$3,78432\cdot 1000000000\text{s}=3784320000\text{s}=\underset{\left[3784320000:60\right]}{63072000}\text{min}=\underset{\left[63072000:60\right]}{1051200}\text{h}=\underset{\left[1051200:24\right]}{43800\text{doˊ}}\text{b}=\underset{\left[43800:365\right]}{120\text{lat}}$

Odp.: Treść telegramu to "ŻYCZYMY CI 120 LAT ŻYCIA. AUTORZY".

---

Obliczenia pomocnicze:

$3784320000\text{s}=3784320000\cdot \frac{1}{60}\text{min}=\left(3784320000:60\right)\text{min}=63072000\text{min}$  

$63072000\text{min}=63072000\cdot \frac{1}{60}\text{h}=\left(63072000:60\right)\text{h}=1051200\text{h}$  

$1051200\text{h}=1051200\cdot \frac{1}{24}\text{doby}=\left(1051200:24\right)\text{doby}=43800\text{doˊb}$  

$43800\text{doˊb}=43800\cdot \frac{1}{365}\text{roku}=\left(43800:365\right)\text{roku}=120\text{lat}$