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Finding the Fourth Proportional to 47,523,009.30, 71,284,513.95 and 47,523,009.30

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Solution

The fourth proportional to 47,523,009.30, 71,284,513.95 and 47,523,009.30 is: 71,284,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,523,009.30 : 71,284,513.95 = 47,523,009.30 : x
  2. Step 2: Convert to fraction form
    47,523,009.30/71,284,513.95 = 47,523,009.30/x
  3. Step 3: Cross multiply
    47,523,009.30x = 71,284,513.95 × 47,523,009.30
  4. Step 4: Simplify right side
    47,523,009.30x = 3,387,654,619,391,829.50
  5. Step 5: Solve for x
    x = 3,387,654,619,391,829.50/47,523,009.30
  6. Step 6: Final answer
    x = 71,284,513.95

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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.