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Finding the Fourth Proportional to 11,783,414.30, 17,643,628.65 and 11,783,414.30

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Solution

The fourth proportional to 11,783,414.30, 17,643,628.65 and 11,783,414.30 is: 17,643,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783,414.30 : 17,643,628.65 = 11,783,414.30 : x
  2. Step 2: Convert to fraction form
    11,783,414.30/17,643,628.65 = 11,783,414.30/x
  3. Step 3: Cross multiply
    11,783,414.30x = 17,643,628.65 × 11,783,414.30
  4. Step 4: Simplify right side
    11,783,414.30x = 207,902,186,138,299.69
  5. Step 5: Solve for x
    x = 207,902,186,138,299.69/11,783,414.30
  6. Step 6: Final answer
    x = 17,643,628.65

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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.