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Finding the Fourth Proportional to 10,474,150,499.70, 15,711,225,749.55 and 10,474,150,499.70

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Solution

The fourth proportional to 10,474,150,499.70, 15,711,225,749.55 and 10,474,150,499.70 is: 15,711,225,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474,150,499.70 : 15,711,225,749.55 = 10,474,150,499.70 : x
  2. Step 2: Convert to fraction form
    10,474,150,499.70/15,711,225,749.55 = 10,474,150,499.70/x
  3. Step 3: Cross multiply
    10,474,150,499.70x = 15,711,225,749.55 × 10,474,150,499.70
  4. Step 4: Simplify right side
    10,474,150,499.70x = 164,561,743,035,548,631,040
  5. Step 5: Solve for x
    x = 164,561,743,035,548,631,040/10,474,150,499.70
  6. Step 6: Final answer
    x = 15,711,225,749.55

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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.