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Finding the Fourth Proportional to 331,952,023.80, 465,413,077.80 and 331,952,023.80

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Solution

The fourth proportional to 331,952,023.80, 465,413,077.80 and 331,952,023.80 is: 465,413,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,952,023.80 : 465,413,077.80 = 331,952,023.80 : x
  2. Step 2: Convert to fraction form
    331,952,023.80/465,413,077.80 = 331,952,023.80/x
  3. Step 3: Cross multiply
    331,952,023.80x = 465,413,077.80 × 331,952,023.80
  4. Step 4: Simplify right side
    331,952,023.80x = 154,494,813,078,696,864
  5. Step 5: Solve for x
    x = 154,494,813,078,696,864/331,952,023.80
  6. Step 6: Final answer
    x = 465,413,077.80

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Why These Related Problems?

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