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Finding the Fourth Proportional to 267,142,469,897.55, 400,713,704,846.32 and 267,142,469,897.55

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Solution

The fourth proportional to 267,142,469,897.55, 400,713,704,846.32 and 267,142,469,897.55 is: 400,713,704,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142,469,897.55 : 400,713,704,846.32 = 267,142,469,897.55 : x
  2. Step 2: Convert to fraction form
    267,142,469,897.55/400,713,704,846.32 = 267,142,469,897.55/x
  3. Step 3: Cross multiply
    267,142,469,897.55x = 400,713,704,846.32 × 267,142,469,897.55
  4. Step 4: Simplify right side
    267,142,469,897.55x = 107,047,648,834,443,766,923,264
  5. Step 5: Solve for x
    x = 107,047,648,834,443,766,923,264/267,142,469,897.55
  6. Step 6: Final answer
    x = 400,713,704,846.32

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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.