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Finding the Fourth Proportional to 279,937,408.80, 419,906,113.20 and 157,493,402.40

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Solution

The fourth proportional to 279,937,408.80, 419,906,113.20 and 157,493,402.40 is: 236,240,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,408.80 : 419,906,113.20 = 157,493,402.40 : x
  2. Step 2: Convert to fraction form
    279,937,408.80/419,906,113.20 = 157,493,402.40/x
  3. Step 3: Cross multiply
    279,937,408.80x = 419,906,113.20 × 157,493,402.40
  4. Step 4: Simplify right side
    279,937,408.80x = 66,132,442,456,427,552
  5. Step 5: Solve for x
    x = 66,132,442,456,427,552/279,937,408.80
  6. Step 6: Final answer
    x = 236,240,103.60

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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.