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Finding the Fourth Proportional to 6,876,443.10, 10,314,664.65 and 6,876,443.10

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Solution

The fourth proportional to 6,876,443.10, 10,314,664.65 and 6,876,443.10 is: 10,314,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876,443.10 : 10,314,664.65 = 6,876,443.10 : x
  2. Step 2: Convert to fraction form
    6,876,443.10/10,314,664.65 = 6,876,443.10/x
  3. Step 3: Cross multiply
    6,876,443.10x = 10,314,664.65 × 6,876,443.10
  4. Step 4: Simplify right side
    6,876,443.10x = 70,928,204,561,306.41
  5. Step 5: Solve for x
    x = 70,928,204,561,306.41/6,876,443.10
  6. Step 6: Final answer
    x = 10,314,664.65

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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.