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Finding the Fourth Proportional to 68,241,941.40, 102,362,912.10 and 29,978,189.40

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Solution

The fourth proportional to 68,241,941.40, 102,362,912.10 and 29,978,189.40 is: 44,967,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,241,941.40 : 102,362,912.10 = 29,978,189.40 : x
  2. Step 2: Convert to fraction form
    68,241,941.40/102,362,912.10 = 29,978,189.40/x
  3. Step 3: Cross multiply
    68,241,941.40x = 102,362,912.10 × 29,978,189.40
  4. Step 4: Simplify right side
    68,241,941.40x = 3,068,654,766,469,351.50
  5. Step 5: Solve for x
    x = 3,068,654,766,469,351.50/68,241,941.40
  6. Step 6: Final answer
    x = 44,967,284.10

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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.