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Finding the Fourth Proportional to 8,342,208.90, 11,704,286.70 and 8,342,208.90

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Solution

The fourth proportional to 8,342,208.90, 11,704,286.70 and 8,342,208.90 is: 11,704,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342,208.90 : 11,704,286.70 = 8,342,208.90 : x
  2. Step 2: Convert to fraction form
    8,342,208.90/11,704,286.70 = 8,342,208.90/x
  3. Step 3: Cross multiply
    8,342,208.90x = 11,704,286.70 × 8,342,208.90
  4. Step 4: Simplify right side
    8,342,208.90x = 97,639,604,676,891.62
  5. Step 5: Solve for x
    x = 97,639,604,676,891.62/8,342,208.90
  6. Step 6: Final answer
    x = 11,704,286.70

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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.