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Finding the Fourth Proportional to 1,107,185,195.70, 1,660,777,793.55 and 1,107,185,195.70

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Solution

The fourth proportional to 1,107,185,195.70, 1,660,777,793.55 and 1,107,185,195.70 is: 1,660,777,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,185,195.70 : 1,660,777,793.55 = 1,107,185,195.70 : x
  2. Step 2: Convert to fraction form
    1,107,185,195.70/1,660,777,793.55 = 1,107,185,195.70/x
  3. Step 3: Cross multiply
    1,107,185,195.70x = 1,660,777,793.55 × 1,107,185,195.70
  4. Step 4: Simplify right side
    1,107,185,195.70x = 1,838,788,586,365,870,848
  5. Step 5: Solve for x
    x = 1,838,788,586,365,870,848/1,107,185,195.70
  6. Step 6: Final answer
    x = 1,660,777,793.55

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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.