To calculate \( 1009274918^2 \times 7714 + 1^2 - 80\% \):
First, calculate \( 1009274918^2 \): \[ 1009274918^2 = 1018647437733909538244 \]
Next, multiply it by \( 7714 \): \[ 1018647437733909538244 \times 7714 \approx 7.8553410668869352 \times 10^{27} \]
Now, calculate \( 1^2 \): \[ 1^2 = 1 \]
Adding these two results together: \[ 7.8553410668869352 \times 10^{27} + 1 \approx 7.8553410668869352 \times 10^{27} \] (The addition of 1 is negligible compared to the large number.)
Now, subtract \( 80\% \) of the sum. \( 80\% \) of \( 7.8553410668869352 \times 10^{27} \): \[ 0.80 \times 7.8553410668869352 \times 10^{27} \approx 6.2842736935095482 \times 10^{27} \]
Finally, subtract this from the sum: \[ 7.8553410668869352 \times 10^{27} - 6.2842736935095482 \times 10^{27} \approx 1.571067373377387 \times 10^{27} \]
Thus, the final result is approximately: \[ \boxed{1.571067373377387 \times 10^{27}} \]