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Finding the Fourth Proportional to 327,560,966,045.65, 491,341,449,068.47 and 327,560,966,045.65

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Solution

The fourth proportional to 327,560,966,045.65, 491,341,449,068.47 and 327,560,966,045.65 is: 491,341,449,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,966,045.65 : 491,341,449,068.47 = 327,560,966,045.65 : x
  2. Step 2: Convert to fraction form
    327,560,966,045.65/491,341,449,068.47 = 327,560,966,045.65/x
  3. Step 3: Cross multiply
    327,560,966,045.65x = 491,341,449,068.47 × 327,560,966,045.65
  4. Step 4: Simplify right side
    327,560,966,045.65x = 160,944,279,715,137,571,520,512
  5. Step 5: Solve for x
    x = 160,944,279,715,137,571,520,512/327,560,966,045.65
  6. Step 6: Final answer
    x = 491,341,449,068.47

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Double scale
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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.