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Finding the Fourth Proportional to 8,206,365.20, 12,309,547.80 and 8,206,365.20

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Solution

The fourth proportional to 8,206,365.20, 12,309,547.80 and 8,206,365.20 is: 12,309,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206,365.20 : 12,309,547.80 = 8,206,365.20 : x
  2. Step 2: Convert to fraction form
    8,206,365.20/12,309,547.80 = 8,206,365.20/x
  3. Step 3: Cross multiply
    8,206,365.20x = 12,309,547.80 × 8,206,365.20
  4. Step 4: Simplify right side
    8,206,365.20x = 101,016,644,693,656.56
  5. Step 5: Solve for x
    x = 101,016,644,693,656.56/8,206,365.20
  6. Step 6: Final answer
    x = 12,309,547.80

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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.