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Finding the Fourth Proportional to 8,276,412.30, 12,414,618.45 and 8,276,412.30

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Solution

The fourth proportional to 8,276,412.30, 12,414,618.45 and 8,276,412.30 is: 12,414,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276,412.30 : 12,414,618.45 = 8,276,412.30 : x
  2. Step 2: Convert to fraction form
    8,276,412.30/12,414,618.45 = 8,276,412.30/x
  3. Step 3: Cross multiply
    8,276,412.30x = 12,414,618.45 × 8,276,412.30
  4. Step 4: Simplify right side
    8,276,412.30x = 102,748,500,839,386.92
  5. Step 5: Solve for x
    x = 102,748,500,839,386.92/8,276,412.30
  6. Step 6: Final answer
    x = 12,414,618.45

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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.