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Finding the Fourth Proportional to 20,687,615,998.65, 31,031,423,997.98 and 20,687,615,998.65

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Solution

The fourth proportional to 20,687,615,998.65, 31,031,423,997.98 and 20,687,615,998.65 is: 31,031,423,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687,615,998.65 : 31,031,423,997.98 = 20,687,615,998.65 : x
  2. Step 2: Convert to fraction form
    20,687,615,998.65/31,031,423,997.98 = 20,687,615,998.65/x
  3. Step 3: Cross multiply
    20,687,615,998.65x = 31,031,423,997.98 × 20,687,615,998.65
  4. Step 4: Simplify right side
    20,687,615,998.65x = 641,966,183,561,399,107,584
  5. Step 5: Solve for x
    x = 641,966,183,561,399,107,584/20,687,615,998.65
  6. Step 6: Final answer
    x = 31,031,423,997.98

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1.5x scale

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.