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Finding the Fourth Proportional to 327,560,973,721.90, 491,341,460,582.85 and 327,560,973,721.90

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Solution

The fourth proportional to 327,560,973,721.90, 491,341,460,582.85 and 327,560,973,721.90 is: 491,341,460,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,973,721.90 : 491,341,460,582.85 = 327,560,973,721.90 : x
  2. Step 2: Convert to fraction form
    327,560,973,721.90/491,341,460,582.85 = 327,560,973,721.90/x
  3. Step 3: Cross multiply
    327,560,973,721.90x = 491,341,460,582.85 × 327,560,973,721.90
  4. Step 4: Simplify right side
    327,560,973,721.90x = 160,944,287,258,458,896,465,920
  5. Step 5: Solve for x
    x = 160,944,287,258,458,896,465,920/327,560,973,721.90
  6. Step 6: Final answer
    x = 491,341,460,582.85

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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.