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Finding the Fourth Proportional to 665,467,348.80, 998,201,023.20 and 665,467,348.80

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Solution

The fourth proportional to 665,467,348.80, 998,201,023.20 and 665,467,348.80 is: 998,201,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,467,348.80 : 998,201,023.20 = 665,467,348.80 : x
  2. Step 2: Convert to fraction form
    665,467,348.80/998,201,023.20 = 665,467,348.80/x
  3. Step 3: Cross multiply
    665,467,348.80x = 998,201,023.20 × 665,467,348.80
  4. Step 4: Simplify right side
    665,467,348.80x = 664,270,188,478,351,232
  5. Step 5: Solve for x
    x = 664,270,188,478,351,232/665,467,348.80
  6. Step 6: Final answer
    x = 998,201,023.20

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Half scale
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Double scale
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Similar ratio
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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.