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Finding the Fourth Proportional to 140,149,862.55, 210,224,793.83 and 140,149,862.55

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Solution

The fourth proportional to 140,149,862.55, 210,224,793.83 and 140,149,862.55 is: 210,224,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,149,862.55 : 210,224,793.83 = 140,149,862.55 : x
  2. Step 2: Convert to fraction form
    140,149,862.55/210,224,793.83 = 140,149,862.55/x
  3. Step 3: Cross multiply
    140,149,862.55x = 210,224,793.83 × 140,149,862.55
  4. Step 4: Simplify right side
    140,149,862.55x = 29,462,975,959,175,840
  5. Step 5: Solve for x
    x = 29,462,975,959,175,840/140,149,862.55
  6. Step 6: Final answer
    x = 210,224,793.83

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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.