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Finding the Fourth Proportional to 2,006,845,879.80, 3,010,268,819.70 and 2,006,845,879.80

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Solution

The fourth proportional to 2,006,845,879.80, 3,010,268,819.70 and 2,006,845,879.80 is: 3,010,268,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,845,879.80 : 3,010,268,819.70 = 2,006,845,879.80 : x
  2. Step 2: Convert to fraction form
    2,006,845,879.80/3,010,268,819.70 = 2,006,845,879.80/x
  3. Step 3: Cross multiply
    2,006,845,879.80x = 3,010,268,819.70 × 2,006,845,879.80
  4. Step 4: Simplify right side
    2,006,845,879.80x = 6,041,145,577,905,353,728
  5. Step 5: Solve for x
    x = 6,041,145,577,905,353,728/2,006,845,879.80
  6. Step 6: Final answer
    x = 3,010,268,819.70

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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.