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Finding the Fourth Proportional to 6,642,002.15, 9,947,256.83 and 6,642,002.15

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Solution

The fourth proportional to 6,642,002.15, 9,947,256.83 and 6,642,002.15 is: 9,947,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,002.15 : 9,947,256.83 = 6,642,002.15 : x
  2. Step 2: Convert to fraction form
    6,642,002.15/9,947,256.83 = 6,642,002.15/x
  3. Step 3: Cross multiply
    6,642,002.15x = 9,947,256.83 × 6,642,002.15
  4. Step 4: Simplify right side
    6,642,002.15x = 66,069,701,218,252.17
  5. Step 5: Solve for x
    x = 66,069,701,218,252.17/6,642,002.15
  6. Step 6: Final answer
    x = 9,947,256.83

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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.