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Finding the Fourth Proportional to 31,431,364,404.65, 47,147,046,606.98 and 31,431,364,404.65

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Solution

The fourth proportional to 31,431,364,404.65, 47,147,046,606.98 and 31,431,364,404.65 is: 47,147,046,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431,364,404.65 : 47,147,046,606.98 = 31,431,364,404.65 : x
  2. Step 2: Convert to fraction form
    31,431,364,404.65/47,147,046,606.98 = 31,431,364,404.65/x
  3. Step 3: Cross multiply
    31,431,364,404.65x = 47,147,046,606.98 × 31,431,364,404.65
  4. Step 4: Simplify right side
    31,431,364,404.65x = 1,481,896,002,506,848,468,992
  5. Step 5: Solve for x
    x = 1,481,896,002,506,848,468,992/31,431,364,404.65
  6. Step 6: Final answer
    x = 47,147,046,606.98

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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.