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Finding the Fourth Proportional to 31,431,391,649.78, 47,147,087,474.66 and 31,431,391,649.78

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Solution

The fourth proportional to 31,431,391,649.78, 47,147,087,474.66 and 31,431,391,649.78 is: 47,147,087,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431,391,649.78 : 47,147,087,474.66 = 31,431,391,649.78 : x
  2. Step 2: Convert to fraction form
    31,431,391,649.78/47,147,087,474.66 = 31,431,391,649.78/x
  3. Step 3: Cross multiply
    31,431,391,649.78x = 47,147,087,474.66 × 31,431,391,649.78
  4. Step 4: Simplify right side
    31,431,391,649.78x = 1,481,898,571,562,302,832,640
  5. Step 5: Solve for x
    x = 1,481,898,571,562,302,832,640/31,431,391,649.78
  6. Step 6: Final answer
    x = 47,147,087,474.66

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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.