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Finding the Fourth Proportional to 27,706,452.65, 41,465,200.58 and 27,706,452.65

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Solution

The fourth proportional to 27,706,452.65, 41,465,200.58 and 27,706,452.65 is: 41,465,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706,452.65 : 41,465,200.58 = 27,706,452.65 : x
  2. Step 2: Convert to fraction form
    27,706,452.65/41,465,200.58 = 27,706,452.65/x
  3. Step 3: Cross multiply
    27,706,452.65x = 41,465,200.58 × 27,706,452.65
  4. Step 4: Simplify right side
    27,706,452.65x = 1,148,853,616,353,990.25
  5. Step 5: Solve for x
    x = 1,148,853,616,353,990.25/27,706,452.65
  6. Step 6: Final answer
    x = 41,465,200.58

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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.