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Finding the Fourth Proportional to 20,882,257.80, 31,323,386.70 and 20,882,257.80

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Solution

The fourth proportional to 20,882,257.80, 31,323,386.70 and 20,882,257.80 is: 31,323,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882,257.80 : 31,323,386.70 = 20,882,257.80 : x
  2. Step 2: Convert to fraction form
    20,882,257.80/31,323,386.70 = 20,882,257.80/x
  3. Step 3: Cross multiply
    20,882,257.80x = 31,323,386.70 × 20,882,257.80
  4. Step 4: Simplify right side
    20,882,257.80x = 654,103,036,238,491.25
  5. Step 5: Solve for x
    x = 654,103,036,238,491.25/20,882,257.80
  6. Step 6: Final answer
    x = 31,323,386.70

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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.