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Finding the Fourth Proportional to 6,194,315.10, 9,291,472.65 and 6,194,315.10

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Solution

The fourth proportional to 6,194,315.10, 9,291,472.65 and 6,194,315.10 is: 9,291,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,315.10 : 9,291,472.65 = 6,194,315.10 : x
  2. Step 2: Convert to fraction form
    6,194,315.10/9,291,472.65 = 6,194,315.10/x
  3. Step 3: Cross multiply
    6,194,315.10x = 9,291,472.65 × 6,194,315.10
  4. Step 4: Simplify right side
    6,194,315.10x = 57,554,309,337,132.02
  5. Step 5: Solve for x
    x = 57,554,309,337,132.02/6,194,315.10
  6. Step 6: Final answer
    x = 9,291,472.65

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