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Finding the Fourth Proportional to 31,431,364,372.90, 47,147,046,559.35 and 31,431,364,372.90

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Solution

The fourth proportional to 31,431,364,372.90, 47,147,046,559.35 and 31,431,364,372.90 is: 47,147,046,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431,364,372.90 : 47,147,046,559.35 = 31,431,364,372.90 : x
  2. Step 2: Convert to fraction form
    31,431,364,372.90/47,147,046,559.35 = 31,431,364,372.90/x
  3. Step 3: Cross multiply
    31,431,364,372.90x = 47,147,046,559.35 × 31,431,364,372.90
  4. Step 4: Simplify right side
    31,431,364,372.90x = 1,481,895,999,513,011,159,040
  5. Step 5: Solve for x
    x = 1,481,895,999,513,011,159,040/31,431,364,372.90
  6. Step 6: Final answer
    x = 47,147,046,559.35

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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.