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Finding the Fourth Proportional to 9,741,966.80, 13,661,148.40 and 9,741,966.80

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Solution

The fourth proportional to 9,741,966.80, 13,661,148.40 and 9,741,966.80 is: 13,661,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741,966.80 : 13,661,148.40 = 9,741,966.80 : x
  2. Step 2: Convert to fraction form
    9,741,966.80/13,661,148.40 = 9,741,966.80/x
  3. Step 3: Cross multiply
    9,741,966.80x = 13,661,148.40 × 9,741,966.80
  4. Step 4: Simplify right side
    9,741,966.80x = 133,086,454,162,673.14
  5. Step 5: Solve for x
    x = 133,086,454,162,673.14/9,741,966.80
  6. Step 6: Final answer
    x = 13,661,148.40

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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.