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Finding the Fourth Proportional to 327,560,974,854.53, 491,341,462,281.78 and 327,560,974,854.53

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Solution

The fourth proportional to 327,560,974,854.53, 491,341,462,281.78 and 327,560,974,854.53 is: 491,341,462,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,974,854.53 : 491,341,462,281.78 = 327,560,974,854.53 : x
  2. Step 2: Convert to fraction form
    327,560,974,854.53/491,341,462,281.78 = 327,560,974,854.53/x
  3. Step 3: Cross multiply
    327,560,974,854.53x = 491,341,462,281.78 × 327,560,974,854.53
  4. Step 4: Simplify right side
    327,560,974,854.53x = 160,944,288,371,470,176,878,592
  5. Step 5: Solve for x
    x = 160,944,288,371,470,176,878,592/327,560,974,854.53
  6. Step 6: Final answer
    x = 491,341,462,281.78

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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.