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Finding the Fourth Proportional to 65,200,652.60, 97,800,978.90 and 34,967,564.60

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Solution

The fourth proportional to 65,200,652.60, 97,800,978.90 and 34,967,564.60 is: 52,451,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200,652.60 : 97,800,978.90 = 34,967,564.60 : x
  2. Step 2: Convert to fraction form
    65,200,652.60/97,800,978.90 = 34,967,564.60/x
  3. Step 3: Cross multiply
    65,200,652.60x = 97,800,978.90 × 34,967,564.60
  4. Step 4: Simplify right side
    65,200,652.60x = 3,419,862,047,628,987.50
  5. Step 5: Solve for x
    x = 3,419,862,047,628,987.50/65,200,652.60
  6. Step 6: Final answer
    x = 52,451,346.90

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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.