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Finding the Fourth Proportional to 66,438,145,163.70, 92,839,260,642.30 and 66,438,145,163.70

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Solution

The fourth proportional to 66,438,145,163.70, 92,839,260,642.30 and 66,438,145,163.70 is: 92,839,260,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,438,145,163.70 : 92,839,260,642.30 = 66,438,145,163.70 : x
  2. Step 2: Convert to fraction form
    66,438,145,163.70/92,839,260,642.30 = 66,438,145,163.70/x
  3. Step 3: Cross multiply
    66,438,145,163.70x = 92,839,260,642.30 × 66,438,145,163.70
  4. Step 4: Simplify right side
    66,438,145,163.70x = 6,168,068,275,443,707,412,480
  5. Step 5: Solve for x
    x = 6,168,068,275,443,707,412,480/66,438,145,163.70
  6. Step 6: Final answer
    x = 92,839,260,642.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.