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Finding the Fourth Proportional to 277,737,403.52, 416,675,377.76 and 196,015,913.12

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Solution

The fourth proportional to 277,737,403.52, 416,675,377.76 and 196,015,913.12 is: 294,072,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,737,403.52 : 416,675,377.76 = 196,015,913.12 : x
  2. Step 2: Convert to fraction form
    277,737,403.52/416,675,377.76 = 196,015,913.12/x
  3. Step 3: Cross multiply
    277,737,403.52x = 416,675,377.76 × 196,015,913.12
  4. Step 4: Simplify right side
    277,737,403.52x = 81,675,004,646,247,344
  5. Step 5: Solve for x
    x = 81,675,004,646,247,344/277,737,403.52
  6. Step 6: Final answer
    x = 294,072,759.42

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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.