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Finding the Fourth Proportional to 532,242,877.20, 798,961,512.60 and 411,609,123.60

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Solution

The fourth proportional to 532,242,877.20, 798,961,512.60 and 411,609,123.60 is: 617,875,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,242,877.20 : 798,961,512.60 = 411,609,123.60 : x
  2. Step 2: Convert to fraction form
    532,242,877.20/798,961,512.60 = 411,609,123.60/x
  3. Step 3: Cross multiply
    532,242,877.20x = 798,961,512.60 × 411,609,123.60
  4. Step 4: Simplify right side
    532,242,877.20x = 328,859,847,991,416,384
  5. Step 5: Solve for x
    x = 328,859,847,991,416,384/532,242,877.20
  6. Step 6: Final answer
    x = 617,875,526.53

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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.