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Finding the Fourth Proportional to 48,894,912,076.20, 73,342,368,114.30 and 48,894,912,076.20

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Solution

The fourth proportional to 48,894,912,076.20, 73,342,368,114.30 and 48,894,912,076.20 is: 73,342,368,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894,912,076.20 : 73,342,368,114.30 = 48,894,912,076.20 : x
  2. Step 2: Convert to fraction form
    48,894,912,076.20/73,342,368,114.30 = 48,894,912,076.20/x
  3. Step 3: Cross multiply
    48,894,912,076.20x = 73,342,368,114.30 × 48,894,912,076.20
  4. Step 4: Simplify right side
    48,894,912,076.20x = 3,586,068,640,408,992,743,424
  5. Step 5: Solve for x
    x = 3,586,068,640,408,992,743,424/48,894,912,076.20
  6. Step 6: Final answer
    x = 73,342,368,114.30

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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.