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Finding the Fourth Proportional to 488,678,692.80, 732,036,597.33 and 225,995,045.88

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Solution

The fourth proportional to 488,678,692.80, 732,036,597.33 and 225,995,045.88 is: 338,538,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,678,692.80 : 732,036,597.33 = 225,995,045.88 : x
  2. Step 2: Convert to fraction form
    488,678,692.80/732,036,597.33 = 225,995,045.88/x
  3. Step 3: Cross multiply
    488,678,692.80x = 732,036,597.33 × 225,995,045.88
  4. Step 4: Simplify right side
    488,678,692.80x = 165,436,644,399,432,448
  5. Step 5: Solve for x
    x = 165,436,644,399,432,448/488,678,692.80
  6. Step 6: Final answer
    x = 338,538,689.81

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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.