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Finding the Fourth Proportional to 267,142,469,897.30, 400,713,704,845.95 and 267,142,469,897.30

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Solution

The fourth proportional to 267,142,469,897.30, 400,713,704,845.95 and 267,142,469,897.30 is: 400,713,704,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142,469,897.30 : 400,713,704,845.95 = 267,142,469,897.30 : x
  2. Step 2: Convert to fraction form
    267,142,469,897.30/400,713,704,845.95 = 267,142,469,897.30/x
  3. Step 3: Cross multiply
    267,142,469,897.30x = 400,713,704,845.95 × 267,142,469,897.30
  4. Step 4: Simplify right side
    267,142,469,897.30x = 107,047,648,834,244,755,587,072
  5. Step 5: Solve for x
    x = 107,047,648,834,244,755,587,072/267,142,469,897.30
  6. Step 6: Final answer
    x = 400,713,704,845.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.