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Finding the Fourth Proportional to 68,128,212.70, 102,192,319.05 and 68,128,212.70

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Solution

The fourth proportional to 68,128,212.70, 102,192,319.05 and 68,128,212.70 is: 102,192,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,128,212.70 : 102,192,319.05 = 68,128,212.70 : x
  2. Step 2: Convert to fraction form
    68,128,212.70/102,192,319.05 = 68,128,212.70/x
  3. Step 3: Cross multiply
    68,128,212.70x = 102,192,319.05 × 68,128,212.70
  4. Step 4: Simplify right side
    68,128,212.70x = 6,962,180,048,544,662
  5. Step 5: Solve for x
    x = 6,962,180,048,544,662/68,128,212.70
  6. Step 6: Final answer
    x = 102,192,319.05

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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.