1. Stating the problem: Solve for $x$ in the equation $$478394(x+5) = 32678132468$$ and then evaluate the expression $$543728973482904 \div 3409244873 + 54378929 \times 438294 + 478394(x+5) + 3498992^4$$. 2. Solve for $x$: Start with the equation: $$478394(x+5) = 32678132468$$ Divide both sides by 478394: $$x+5 = \frac{32678132468}{478394}$$ Calculate the division: $$x+5 \approx 68300$$ Subtract 5 from both sides: $$x \approx 68300 - 5 = 68295$$ 3. Calculate each term in the expression: - First term: $$543728973482904 \div 3409244873 \approx 159544$$ - Second term: $$54378929 \times 438294 = 23843892724426$$ - Third term: $$478394(x+5) = 32678132468$$ (given) - Fourth term: $$3498992^4$$ Calculate $$3498992^4$$: $$3498992^2 = 3498992 \times 3498992 = 12242944000064$$ Then square again: $$12242944000064^2 = 1.498 \times 10^{26}$$ (approximate) 4. Sum all terms: $$159544 + 23843892724426 + 32678132468 + 1.498 \times 10^{26} \approx 1.498 \times 10^{26}$$ 5. Final answer: $$x \approx 68295$$ The value of the entire expression is approximately $$1.498 \times 10^{26}$$, dominated by the large power term.