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Finding the Fourth Proportional to 38,016,205.80, 57,024,308.70 and 38,016,205.80

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Solution

The fourth proportional to 38,016,205.80, 57,024,308.70 and 38,016,205.80 is: 57,024,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016,205.80 : 57,024,308.70 = 38,016,205.80 : x
  2. Step 2: Convert to fraction form
    38,016,205.80/57,024,308.70 = 38,016,205.80/x
  3. Step 3: Cross multiply
    38,016,205.80x = 57,024,308.70 × 38,016,205.80
  4. Step 4: Simplify right side
    38,016,205.80x = 2,167,847,855,141,930.50
  5. Step 5: Solve for x
    x = 2,167,847,855,141,930.50/38,016,205.80
  6. Step 6: Final answer
    x = 57,024,308.70

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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.