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Finding the Fourth Proportional to 11,665,713.21, 17,498,569.80 and 11,665,713.21

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Solution

The fourth proportional to 11,665,713.21, 17,498,569.80 and 11,665,713.21 is: 17,498,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665,713.21 : 17,498,569.80 = 11,665,713.21 : x
  2. Step 2: Convert to fraction form
    11,665,713.21/17,498,569.80 = 11,665,713.21/x
  3. Step 3: Cross multiply
    11,665,713.21x = 17,498,569.80 × 11,665,713.21
  4. Step 4: Simplify right side
    11,665,713.21x = 204,133,296,871,967.09
  5. Step 5: Solve for x
    x = 204,133,296,871,967.09/11,665,713.21
  6. Step 6: Final answer
    x = 17,498,569.80

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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.