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Finding the Fourth Proportional to 11,704,847.40, 16,397,983.80 and 11,704,847.40

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Solution

The fourth proportional to 11,704,847.40, 16,397,983.80 and 11,704,847.40 is: 16,397,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704,847.40 : 16,397,983.80 = 11,704,847.40 : x
  2. Step 2: Convert to fraction form
    11,704,847.40/16,397,983.80 = 11,704,847.40/x
  3. Step 3: Cross multiply
    11,704,847.40x = 16,397,983.80 × 11,704,847.40
  4. Step 4: Simplify right side
    11,704,847.40x = 191,935,898,046,672.12
  5. Step 5: Solve for x
    x = 191,935,898,046,672.12/11,704,847.40
  6. Step 6: Final answer
    x = 16,397,983.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.