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Finding the Fourth Proportional to 83,542,194,624.70, 125,313,291,937.05 and 83,542,194,624.70

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Solution

The fourth proportional to 83,542,194,624.70, 125,313,291,937.05 and 83,542,194,624.70 is: 125,313,291,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542,194,624.70 : 125,313,291,937.05 = 83,542,194,624.70 : x
  2. Step 2: Convert to fraction form
    83,542,194,624.70/125,313,291,937.05 = 83,542,194,624.70/x
  3. Step 3: Cross multiply
    83,542,194,624.70x = 125,313,291,937.05 × 83,542,194,624.70
  4. Step 4: Simplify right side
    83,542,194,624.70x = 10,468,947,424,066,880,405,504
  5. Step 5: Solve for x
    x = 10,468,947,424,066,880,405,504/83,542,194,624.70
  6. Step 6: Final answer
    x = 125,313,291,937.05

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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.