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Finding the Fourth Proportional to 327,560,966,064.78, 491,341,449,097.16 and 327,560,966,064.78

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Solution

The fourth proportional to 327,560,966,064.78, 491,341,449,097.16 and 327,560,966,064.78 is: 491,341,449,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,966,064.78 : 491,341,449,097.16 = 327,560,966,064.78 : x
  2. Step 2: Convert to fraction form
    327,560,966,064.78/491,341,449,097.16 = 327,560,966,064.78/x
  3. Step 3: Cross multiply
    327,560,966,064.78x = 491,341,449,097.16 × 327,560,966,064.78
  4. Step 4: Simplify right side
    327,560,966,064.78x = 160,944,279,733,934,663,663,616
  5. Step 5: Solve for x
    x = 160,944,279,733,934,663,663,616/327,560,966,064.78
  6. Step 6: Final answer
    x = 491,341,449,097.16

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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.