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Finding the Fourth Proportional to 140,125,637.40, 210,188,456.10 and 140,125,637.40

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Solution

The fourth proportional to 140,125,637.40, 210,188,456.10 and 140,125,637.40 is: 210,188,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,125,637.40 : 210,188,456.10 = 140,125,637.40 : x
  2. Step 2: Convert to fraction form
    140,125,637.40/210,188,456.10 = 140,125,637.40/x
  3. Step 3: Cross multiply
    140,125,637.40x = 210,188,456.10 × 140,125,637.40
  4. Step 4: Simplify right side
    140,125,637.40x = 29,452,791,385,134,420
  5. Step 5: Solve for x
    x = 29,452,791,385,134,420/140,125,637.40
  6. Step 6: Final answer
    x = 210,188,456.10

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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.