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Finding the Fourth Proportional to 99,545,856,028.20, 149,318,784,042.30 and 99,545,856,028.20

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Solution

The fourth proportional to 99,545,856,028.20, 149,318,784,042.30 and 99,545,856,028.20 is: 149,318,784,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,545,856,028.20 : 149,318,784,042.30 = 99,545,856,028.20 : x
  2. Step 2: Convert to fraction form
    99,545,856,028.20/149,318,784,042.30 = 99,545,856,028.20/x
  3. Step 3: Cross multiply
    99,545,856,028.20x = 149,318,784,042.30 × 99,545,856,028.20
  4. Step 4: Simplify right side
    99,545,856,028.20x = 14,864,066,178,580,681,326,592
  5. Step 5: Solve for x
    x = 14,864,066,178,580,681,326,592/99,545,856,028.20
  6. Step 6: Final answer
    x = 149,318,784,042.30

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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.