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Finding the Fourth Proportional to 52,488,052.52, 78,732,078.82 and 52,488,052.52

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Solution

The fourth proportional to 52,488,052.52, 78,732,078.82 and 52,488,052.52 is: 78,732,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,488,052.52 : 78,732,078.82 = 52,488,052.52 : x
  2. Step 2: Convert to fraction form
    52,488,052.52/78,732,078.82 = 52,488,052.52/x
  3. Step 3: Cross multiply
    52,488,052.52x = 78,732,078.82 × 52,488,052.52
  4. Step 4: Simplify right side
    52,488,052.52x = 4,132,493,488,112,939.50
  5. Step 5: Solve for x
    x = 4,132,493,488,112,939.50/52,488,052.52
  6. Step 6: Final answer
    x = 78,732,078.82

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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.