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Finding the Fourth Proportional to 325,305,317,998.80, 487,957,976,998.20 and 325,305,317,998.80

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Solution

The fourth proportional to 325,305,317,998.80, 487,957,976,998.20 and 325,305,317,998.80 is: 487,957,976,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,305,317,998.80 : 487,957,976,998.20 = 325,305,317,998.80 : x
  2. Step 2: Convert to fraction form
    325,305,317,998.80/487,957,976,998.20 = 325,305,317,998.80/x
  3. Step 3: Cross multiply
    325,305,317,998.80x = 487,957,976,998.20 × 325,305,317,998.80
  4. Step 4: Simplify right side
    325,305,317,998.80x = 158,735,324,877,450,576,396,288
  5. Step 5: Solve for x
    x = 158,735,324,877,450,576,396,288/325,305,317,998.80
  6. Step 6: Final answer
    x = 487,957,976,998.20

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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.