To find how many times greater \( 3.08 \times 10^8 \) is than \( 4.4 \times 10^6 \), we can divide the two numbers:
\[ \frac{3.08 \times 10^8}{4.4 \times 10^6} \]
We can separate the coefficients and the powers of ten:
\[ \frac{3.08}{4.4} \times \frac{10^8}{10^6} \]
Calculating the power of ten:
\[ \frac{10^8}{10^6} = 10^{8-6} = 10^2 \]
Now we need to calculate the coefficient:
\[ \frac{3.08}{4.4} \]
Calculating it gives approximately:
\[ 0.7 \]
Now, combining the coefficient and the power of ten:
\[ 0.7 \times 10^2 \]
To express this in standard scientific notation, we can write:
\[ 7.0 \times 10^1 \]
Thus, the final answer is:
\[ \boxed{7.0 \times 10^1} \]
Alternatively, simplifying the previous calculation gives:
\[ 70 \]
in standard notation, which is also an acceptable answer. Thus, \( 3.08 \times 10^8 \) is \( 70 \) times greater than \( 4.4 \times 10^6 \).