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Finding the Fourth Proportional to 8,200,906.10, 12,301,359.15 and 8,200,906.10

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Solution

The fourth proportional to 8,200,906.10, 12,301,359.15 and 8,200,906.10 is: 12,301,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200,906.10 : 12,301,359.15 = 8,200,906.10 : x
  2. Step 2: Convert to fraction form
    8,200,906.10/12,301,359.15 = 8,200,906.10/x
  3. Step 3: Cross multiply
    8,200,906.10x = 12,301,359.15 × 8,200,906.10
  4. Step 4: Simplify right side
    8,200,906.10x = 100,882,291,291,525.81
  5. Step 5: Solve for x
    x = 100,882,291,291,525.81/8,200,906.10
  6. Step 6: Final answer
    x = 12,301,359.15

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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.