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Finding the Fourth Proportional to 327,560,233,516.65, 491,340,350,274.97 and 327,560,233,516.65

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Solution

The fourth proportional to 327,560,233,516.65, 491,340,350,274.97 and 327,560,233,516.65 is: 491,340,350,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,233,516.65 : 491,340,350,274.97 = 327,560,233,516.65 : x
  2. Step 2: Convert to fraction form
    327,560,233,516.65/491,340,350,274.97 = 327,560,233,516.65/x
  3. Step 3: Cross multiply
    327,560,233,516.65x = 491,340,350,274.97 × 327,560,233,516.65
  4. Step 4: Simplify right side
    327,560,233,516.65x = 160,943,559,872,221,777,231,872
  5. Step 5: Solve for x
    x = 160,943,559,872,221,777,231,872/327,560,233,516.65
  6. Step 6: Final answer
    x = 491,340,350,274.97

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Double scale
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Similar ratio
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1.5x scale

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.