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Finding the Fourth Proportional to 47,524,605,806.70, 71,286,908,710.05 and 47,524,605,806.70

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Solution

The fourth proportional to 47,524,605,806.70, 71,286,908,710.05 and 47,524,605,806.70 is: 71,286,908,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,524,605,806.70 : 71,286,908,710.05 = 47,524,605,806.70 : x
  2. Step 2: Convert to fraction form
    47,524,605,806.70/71,286,908,710.05 = 47,524,605,806.70/x
  3. Step 3: Cross multiply
    47,524,605,806.70x = 71,286,908,710.05 × 47,524,605,806.70
  4. Step 4: Simplify right side
    47,524,605,806.70x = 3,387,882,235,623,335,002,112
  5. Step 5: Solve for x
    x = 3,387,882,235,623,335,002,112/47,524,605,806.70
  6. Step 6: Final answer
    x = 71,286,908,710.05

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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.