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Finding the Fourth Proportional to 100,601,999.90, 150,902,999.85 and 97,767,647.90

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Solution

The fourth proportional to 100,601,999.90, 150,902,999.85 and 97,767,647.90 is: 146,651,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,601,999.90 : 150,902,999.85 = 97,767,647.90 : x
  2. Step 2: Convert to fraction form
    100,601,999.90/150,902,999.85 = 97,767,647.90/x
  3. Step 3: Cross multiply
    100,601,999.90x = 150,902,999.85 × 97,767,647.90
  4. Step 4: Simplify right side
    100,601,999.90x = 14,753,431,356,388,554
  5. Step 5: Solve for x
    x = 14,753,431,356,388,554/100,601,999.90
  6. Step 6: Final answer
    x = 146,651,471.85

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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.