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Finding the Fourth Proportional to 325,321,157,998.80, 487,981,736,998.20 and 325,321,157,998.80

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Solution

The fourth proportional to 325,321,157,998.80, 487,981,736,998.20 and 325,321,157,998.80 is: 487,981,736,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,321,157,998.80 : 487,981,736,998.20 = 325,321,157,998.80 : x
  2. Step 2: Convert to fraction form
    325,321,157,998.80/487,981,736,998.20 = 325,321,157,998.80/x
  3. Step 3: Cross multiply
    325,321,157,998.80x = 487,981,736,998.20 × 325,321,157,998.80
  4. Step 4: Simplify right side
    325,321,157,998.80x = 158,750,783,762,520,292,196,352
  5. Step 5: Solve for x
    x = 158,750,783,762,520,292,196,352/325,321,157,998.80
  6. Step 6: Final answer
    x = 487,981,736,998.20

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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.