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Finding the Fourth Proportional to 488,335,967.80, 732,503,951.70 and 165,219,839.80

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Solution

The fourth proportional to 488,335,967.80, 732,503,951.70 and 165,219,839.80 is: 247,829,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,335,967.80 : 732,503,951.70 = 165,219,839.80 : x
  2. Step 2: Convert to fraction form
    488,335,967.80/732,503,951.70 = 165,219,839.80/x
  3. Step 3: Cross multiply
    488,335,967.80x = 732,503,951.70 × 165,219,839.80
  4. Step 4: Simplify right side
    488,335,967.80x = 121,024,185,552,740,960
  5. Step 5: Solve for x
    x = 121,024,185,552,740,960/488,335,967.80
  6. Step 6: Final answer
    x = 247,829,759.70

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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.