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Finding the Fourth Proportional to 146,679,662,447.20, 220,019,493,670.80 and 146,679,662,447.20

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Solution

The fourth proportional to 146,679,662,447.20, 220,019,493,670.80 and 146,679,662,447.20 is: 220,019,493,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,679,662,447.20 : 220,019,493,670.80 = 146,679,662,447.20 : x
  2. Step 2: Convert to fraction form
    146,679,662,447.20/220,019,493,670.80 = 146,679,662,447.20/x
  3. Step 3: Cross multiply
    146,679,662,447.20x = 220,019,493,670.80 × 146,679,662,447.20
  4. Step 4: Simplify right side
    146,679,662,447.20x = 32,272,385,063,436,800,753,664
  5. Step 5: Solve for x
    x = 32,272,385,063,436,800,753,664/146,679,662,447.20
  6. Step 6: Final answer
    x = 220,019,493,670.80

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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.