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Finding the Fourth Proportional to 82,952,082.30, 124,428,123.45 and 65,819,999.10

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Solution

The fourth proportional to 82,952,082.30, 124,428,123.45 and 65,819,999.10 is: 98,729,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952,082.30 : 124,428,123.45 = 65,819,999.10 : x
  2. Step 2: Convert to fraction form
    82,952,082.30/124,428,123.45 = 65,819,999.10/x
  3. Step 3: Cross multiply
    82,952,082.30x = 124,428,123.45 × 65,819,999.10
  4. Step 4: Simplify right side
    82,952,082.30x = 8,189,858,973,493,689
  5. Step 5: Solve for x
    x = 8,189,858,973,493,689/82,952,082.30
  6. Step 6: Final answer
    x = 98,729,998.65

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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.