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Finding the Fourth Proportional to 260,760,387,712.80, 391,140,581,569.20 and 260,760,387,712.80

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Solution

The fourth proportional to 260,760,387,712.80, 391,140,581,569.20 and 260,760,387,712.80 is: 391,140,581,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,387,712.80 : 391,140,581,569.20 = 260,760,387,712.80 : x
  2. Step 2: Convert to fraction form
    260,760,387,712.80/391,140,581,569.20 = 260,760,387,712.80/x
  3. Step 3: Cross multiply
    260,760,387,712.80x = 391,140,581,569.20 × 260,760,387,712.80
  4. Step 4: Simplify right side
    260,760,387,712.80x = 101,993,969,700,194,670,870,528
  5. Step 5: Solve for x
    x = 101,993,969,700,194,670,870,528/260,760,387,712.80
  6. Step 6: Final answer
    x = 391,140,581,569.20

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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.