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Finding the Fourth Proportional to 49,831,951.78, 74,747,927.69 and 49,831,951.78

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Solution

The fourth proportional to 49,831,951.78, 74,747,927.69 and 49,831,951.78 is: 74,747,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,831,951.78 : 74,747,927.69 = 49,831,951.78 : x
  2. Step 2: Convert to fraction form
    49,831,951.78/74,747,927.69 = 49,831,951.78/x
  3. Step 3: Cross multiply
    49,831,951.78x = 74,747,927.69 × 49,831,951.78
  4. Step 4: Simplify right side
    49,831,951.78x = 3,724,835,127,680,107.50
  5. Step 5: Solve for x
    x = 3,724,835,127,680,107.50/49,831,951.78
  6. Step 6: Final answer
    x = 74,747,927.69

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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.