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Finding the Fourth Proportional to 3,783,290,400.60, 5,674,935,600.90 and 3,783,290,400.60

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Solution

The fourth proportional to 3,783,290,400.60, 5,674,935,600.90 and 3,783,290,400.60 is: 5,674,935,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,290,400.60 : 5,674,935,600.90 = 3,783,290,400.60 : x
  2. Step 2: Convert to fraction form
    3,783,290,400.60/5,674,935,600.90 = 3,783,290,400.60/x
  3. Step 3: Cross multiply
    3,783,290,400.60x = 5,674,935,600.90 × 3,783,290,400.60
  4. Step 4: Simplify right side
    3,783,290,400.60x = 21,469,929,382,908,162,048
  5. Step 5: Solve for x
    x = 21,469,929,382,908,162,048/3,783,290,400.60
  6. Step 6: Final answer
    x = 5,674,935,600.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.