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Finding the Fourth Proportional to 65,205,098.60, 97,807,647.90 and 34,972,010.60

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Solution

The fourth proportional to 65,205,098.60, 97,807,647.90 and 34,972,010.60 is: 52,458,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205,098.60 : 97,807,647.90 = 34,972,010.60 : x
  2. Step 2: Convert to fraction form
    65,205,098.60/97,807,647.90 = 34,972,010.60/x
  3. Step 3: Cross multiply
    65,205,098.60x = 97,807,647.90 × 34,972,010.60
  4. Step 4: Simplify right side
    65,205,098.60x = 3,420,530,099,119,868
  5. Step 5: Solve for x
    x = 3,420,530,099,119,868/65,205,098.60
  6. Step 6: Final answer
    x = 52,458,015.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.