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Finding the Fourth Proportional to 65,144,640.60, 97,654,752.90 and 24,193,114.20

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Solution

The fourth proportional to 65,144,640.60, 97,654,752.90 and 24,193,114.20 is: 36,266,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144,640.60 : 97,654,752.90 = 24,193,114.20 : x
  2. Step 2: Convert to fraction form
    65,144,640.60/97,654,752.90 = 24,193,114.20/x
  3. Step 3: Cross multiply
    65,144,640.60x = 97,654,752.90 × 24,193,114.20
  4. Step 4: Simplify right side
    65,144,640.60x = 2,362,572,589,082,481.50
  5. Step 5: Solve for x
    x = 2,362,572,589,082,481.50/65,144,640.60
  6. Step 6: Final answer
    x = 36,266,568.78

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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.