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Finding the Fourth Proportional to 307,846,972.68, 461,770,458.56 and 77,816,057.33

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Solution

The fourth proportional to 307,846,972.68, 461,770,458.56 and 77,816,057.33 is: 116,724,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,846,972.68 : 461,770,458.56 = 77,816,057.33 : x
  2. Step 2: Convert to fraction form
    307,846,972.68/461,770,458.56 = 77,816,057.33/x
  3. Step 3: Cross multiply
    307,846,972.68x = 461,770,458.56 × 77,816,057.33
  4. Step 4: Simplify right side
    307,846,972.68x = 35,933,156,473,907,420
  5. Step 5: Solve for x
    x = 35,933,156,473,907,420/307,846,972.68
  6. Step 6: Final answer
    x = 116,724,085.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.