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Finding the Fourth Proportional to 47,198,375,998.40, 70,797,563,997.60 and 47,198,375,998.40

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Solution

The fourth proportional to 47,198,375,998.40, 70,797,563,997.60 and 47,198,375,998.40 is: 70,797,563,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,198,375,998.40 : 70,797,563,997.60 = 47,198,375,998.40 : x
  2. Step 2: Convert to fraction form
    47,198,375,998.40/70,797,563,997.60 = 47,198,375,998.40/x
  3. Step 3: Cross multiply
    47,198,375,998.40x = 70,797,563,997.60 × 47,198,375,998.40
  4. Step 4: Simplify right side
    47,198,375,998.40x = 3,341,530,045,329,512,071,168
  5. Step 5: Solve for x
    x = 3,341,530,045,329,512,071,168/47,198,375,998.40
  6. Step 6: Final answer
    x = 70,797,563,997.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.