Finding the Fourth Proportional to 3,170,465,167.80, 4,755,697,751.70 and 2,295,217,270.20
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Solution
The fourth proportional to 3,170,465,167.80, 4,755,697,751.70 and 2,295,217,270.20 is: 3,442,825,905.30
Step by Step Solution
- Step 1: Write the proportion equation
3,170,465,167.80 : 4,755,697,751.70 = 2,295,217,270.20 : x - Step 2: Convert to fraction form
3,170,465,167.80/4,755,697,751.70 = 2,295,217,270.20/x - Step 3: Cross multiply
3,170,465,167.80x = 4,755,697,751.70 × 2,295,217,270.20 - Step 4: Simplify right side
3,170,465,167.80x = 10,915,359,611,553,150,976 - Step 5: Solve for x
x = 10,915,359,611,553,150,976/3,170,465,167.80 - Step 6: Final answer
x = 3,442,825,905.30
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.