Finding the Fourth Proportional to 1,465,698,657.40, 2,198,866,850.70 and 482,957,960.20
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Solution
The fourth proportional to 1,465,698,657.40, 2,198,866,850.70 and 482,957,960.20 is: 724,542,008.42
Step by Step Solution
- Step 1: Write the proportion equation
1,465,698,657.40 : 2,198,866,850.70 = 482,957,960.20 : x - Step 2: Convert to fraction form
1,465,698,657.40/2,198,866,850.70 = 482,957,960.20/x - Step 3: Cross multiply
1,465,698,657.40x = 2,198,866,850.70 × 482,957,960.20 - Step 4: Simplify right side
1,465,698,657.40x = 1,061,960,248,965,469,824 - Step 5: Solve for x
x = 1,061,960,248,965,469,824/1,465,698,657.40 - Step 6: Final answer
x = 724,542,008.42
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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.