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Finding the Fourth Proportional to 140,418,176.20, 210,343,829.10 and 140,418,176.20

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Solution

The fourth proportional to 140,418,176.20, 210,343,829.10 and 140,418,176.20 is: 210,343,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,418,176.20 : 210,343,829.10 = 140,418,176.20 : x
  2. Step 2: Convert to fraction form
    140,418,176.20/210,343,829.10 = 140,418,176.20/x
  3. Step 3: Cross multiply
    140,418,176.20x = 210,343,829.10 × 140,418,176.20
  4. Step 4: Simplify right side
    140,418,176.20x = 29,536,096,857,146,484
  5. Step 5: Solve for x
    x = 29,536,096,857,146,484/140,418,176.20
  6. Step 6: Final answer
    x = 210,343,829.10

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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.