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Finding the Fourth Proportional to 47,198,375,999.40, 70,797,563,999.10 and 47,198,375,999.40

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Solution

The fourth proportional to 47,198,375,999.40, 70,797,563,999.10 and 47,198,375,999.40 is: 70,797,563,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,198,375,999.40 : 70,797,563,999.10 = 47,198,375,999.40 : x
  2. Step 2: Convert to fraction form
    47,198,375,999.40/70,797,563,999.10 = 47,198,375,999.40/x
  3. Step 3: Cross multiply
    47,198,375,999.40x = 70,797,563,999.10 × 47,198,375,999.40
  4. Step 4: Simplify right side
    47,198,375,999.40x = 3,341,530,045,471,107,579,904
  5. Step 5: Solve for x
    x = 3,341,530,045,471,107,579,904/47,198,375,999.40
  6. Step 6: Final answer
    x = 70,797,563,999.10

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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.