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Finding the Fourth Proportional to 149,339,238,312.60, 224,008,857,468.90 and 149,339,238,312.60

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Solution

The fourth proportional to 149,339,238,312.60, 224,008,857,468.90 and 149,339,238,312.60 is: 224,008,857,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,339,238,312.60 : 224,008,857,468.90 = 149,339,238,312.60 : x
  2. Step 2: Convert to fraction form
    149,339,238,312.60/224,008,857,468.90 = 149,339,238,312.60/x
  3. Step 3: Cross multiply
    149,339,238,312.60x = 224,008,857,468.90 × 149,339,238,312.60
  4. Step 4: Simplify right side
    149,339,238,312.60x = 33,453,312,149,681,304,764,416
  5. Step 5: Solve for x
    x = 33,453,312,149,681,304,764,416/149,339,238,312.60
  6. Step 6: Final answer
    x = 224,008,857,468.90

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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.