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Finding the Fourth Proportional to 38,631,324,008.70, 57,946,986,013.06 and 38,631,324,008.70

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Solution

The fourth proportional to 38,631,324,008.70, 57,946,986,013.06 and 38,631,324,008.70 is: 57,946,986,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,631,324,008.70 : 57,946,986,013.06 = 38,631,324,008.70 : x
  2. Step 2: Convert to fraction form
    38,631,324,008.70/57,946,986,013.06 = 38,631,324,008.70/x
  3. Step 3: Cross multiply
    38,631,324,008.70x = 57,946,986,013.06 × 38,631,324,008.70
  4. Step 4: Simplify right side
    38,631,324,008.70x = 2,238,568,791,998,127,669,248
  5. Step 5: Solve for x
    x = 2,238,568,791,998,127,669,248/38,631,324,008.70
  6. Step 6: Final answer
    x = 57,946,986,013.06

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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.