Finding the Fourth Proportional to 397,465,639.20, 596,198,458.80 and 314,560,843.20
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Solution
The fourth proportional to 397,465,639.20, 596,198,458.80 and 314,560,843.20 is: 471,841,264.80
Step by Step Solution
- Step 1: Write the proportion equation
397,465,639.20 : 596,198,458.80 = 314,560,843.20 : x - Step 2: Convert to fraction form
397,465,639.20/596,198,458.80 = 314,560,843.20/x - Step 3: Cross multiply
397,465,639.20x = 596,198,458.80 × 314,560,843.20 - Step 4: Simplify right side
397,465,639.20x = 187,540,689,914,668,448 - Step 5: Solve for x
x = 187,540,689,914,668,448/397,465,639.20 - Step 6: Final answer
x = 471,841,264.80
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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.