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Finding the Fourth Proportional to 4,098,168.80, 5,745,834.40 and 4,098,168.80

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Solution

The fourth proportional to 4,098,168.80, 5,745,834.40 and 4,098,168.80 is: 5,745,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098,168.80 : 5,745,834.40 = 4,098,168.80 : x
  2. Step 2: Convert to fraction form
    4,098,168.80/5,745,834.40 = 4,098,168.80/x
  3. Step 3: Cross multiply
    4,098,168.80x = 5,745,834.40 × 4,098,168.80
  4. Step 4: Simplify right side
    4,098,168.80x = 23,547,399,268,046.72
  5. Step 5: Solve for x
    x = 23,547,399,268,046.72/4,098,168.80
  6. Step 6: Final answer
    x = 5,745,834.40

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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.