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Finding the Fourth Proportional to 532,992,034.80, 799,488,052.20 and 411,910,383.60

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Solution

The fourth proportional to 532,992,034.80, 799,488,052.20 and 411,910,383.60 is: 617,865,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,992,034.80 : 799,488,052.20 = 411,910,383.60 : x
  2. Step 2: Convert to fraction form
    532,992,034.80/799,488,052.20 = 411,910,383.60/x
  3. Step 3: Cross multiply
    532,992,034.80x = 799,488,052.20 × 411,910,383.60
  4. Step 4: Simplify right side
    532,992,034.80x = 329,317,430,265,318,848
  5. Step 5: Solve for x
    x = 329,317,430,265,318,848/532,992,034.80
  6. Step 6: Final answer
    x = 617,865,575.40

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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.