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Finding the Fourth Proportional to 6,835,342.60, 10,253,013.90 and 6,835,342.60

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Solution

The fourth proportional to 6,835,342.60, 10,253,013.90 and 6,835,342.60 is: 10,253,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,342.60 : 10,253,013.90 = 6,835,342.60 : x
  2. Step 2: Convert to fraction form
    6,835,342.60/10,253,013.90 = 6,835,342.60/x
  3. Step 3: Cross multiply
    6,835,342.60x = 10,253,013.90 × 6,835,342.60
  4. Step 4: Simplify right side
    6,835,342.60x = 70,082,862,689,062.14
  5. Step 5: Solve for x
    x = 70,082,862,689,062.14/6,835,342.60
  6. Step 6: Final answer
    x = 10,253,013.90

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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.