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Finding the Fourth Proportional to 7,284,165.20, 10,905,252.60 and 7,284,165.20

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Solution

The fourth proportional to 7,284,165.20, 10,905,252.60 and 7,284,165.20 is: 10,905,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,165.20 : 10,905,252.60 = 7,284,165.20 : x
  2. Step 2: Convert to fraction form
    7,284,165.20/10,905,252.60 = 7,284,165.20/x
  3. Step 3: Cross multiply
    7,284,165.20x = 10,905,252.60 × 7,284,165.20
  4. Step 4: Simplify right side
    7,284,165.20x = 79,435,661,486,129.52
  5. Step 5: Solve for x
    x = 79,435,661,486,129.52/7,284,165.20
  6. Step 6: Final answer
    x = 10,905,252.60

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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.