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Finding the Fourth Proportional to 314,928,712.60, 472,393,068.90 and 291,970,461.40

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Solution

The fourth proportional to 314,928,712.60, 472,393,068.90 and 291,970,461.40 is: 437,955,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,712.60 : 472,393,068.90 = 291,970,461.40 : x
  2. Step 2: Convert to fraction form
    314,928,712.60/472,393,068.90 = 291,970,461.40/x
  3. Step 3: Cross multiply
    314,928,712.60x = 472,393,068.90 × 291,970,461.40
  4. Step 4: Simplify right side
    314,928,712.60x = 137,924,822,288,894,976
  5. Step 5: Solve for x
    x = 137,924,822,288,894,976/314,928,712.60
  6. Step 6: Final answer
    x = 437,955,692.10

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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.