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Finding the Fourth Proportional to 1,843,245,311.76, 2,764,870,628.49 and 752,728,379.76

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Solution

The fourth proportional to 1,843,245,311.76, 2,764,870,628.49 and 752,728,379.76 is: 1,129,093,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,245,311.76 : 2,764,870,628.49 = 752,728,379.76 : x
  2. Step 2: Convert to fraction form
    1,843,245,311.76/2,764,870,628.49 = 752,728,379.76/x
  3. Step 3: Cross multiply
    1,843,245,311.76x = 2,764,870,628.49 × 752,728,379.76
  4. Step 4: Simplify right side
    1,843,245,311.76x = 2,081,196,588,429,290,496
  5. Step 5: Solve for x
    x = 2,081,196,588,429,290,496/1,843,245,311.76
  6. Step 6: Final answer
    x = 1,129,093,656.25

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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.