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Finding the Fourth Proportional to 394,338,735.10, 541,337,813.71 and 338,487,192.28

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Solution

The fourth proportional to 394,338,735.10, 541,337,813.71 and 338,487,192.28 is: 464,666,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,338,735.10 : 541,337,813.71 = 338,487,192.28 : x
  2. Step 2: Convert to fraction form
    394,338,735.10/541,337,813.71 = 338,487,192.28/x
  3. Step 3: Cross multiply
    394,338,735.10x = 541,337,813.71 × 338,487,192.28
  4. Step 4: Simplify right side
    394,338,735.10x = 183,235,916,637,691,584
  5. Step 5: Solve for x
    x = 183,235,916,637,691,584/394,338,735.10
  6. Step 6: Final answer
    x = 464,666,288.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.