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Finding the Fourth Proportional to 50,920,416,007.20, 76,380,624,010.80 and 50,920,416,007.20

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Solution

The fourth proportional to 50,920,416,007.20, 76,380,624,010.80 and 50,920,416,007.20 is: 76,380,624,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,920,416,007.20 : 76,380,624,010.80 = 50,920,416,007.20 : x
  2. Step 2: Convert to fraction form
    50,920,416,007.20/76,380,624,010.80 = 50,920,416,007.20/x
  3. Step 3: Cross multiply
    50,920,416,007.20x = 76,380,624,010.80 × 50,920,416,007.20
  4. Step 4: Simplify right side
    50,920,416,007.20x = 3,889,333,149,519,464,890,368
  5. Step 5: Solve for x
    x = 3,889,333,149,519,464,890,368/50,920,416,007.20
  6. Step 6: Final answer
    x = 76,380,624,010.80

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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.