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Finding the Fourth Proportional to 1,991,052,003.80, 2,782,307,198.80 and 1,991,052,003.80

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Solution

The fourth proportional to 1,991,052,003.80, 2,782,307,198.80 and 1,991,052,003.80 is: 2,782,307,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,052,003.80 : 2,782,307,198.80 = 1,991,052,003.80 : x
  2. Step 2: Convert to fraction form
    1,991,052,003.80/2,782,307,198.80 = 1,991,052,003.80/x
  3. Step 3: Cross multiply
    1,991,052,003.80x = 2,782,307,198.80 × 1,991,052,003.80
  4. Step 4: Simplify right side
    1,991,052,003.80x = 5,539,718,323,357,904,896
  5. Step 5: Solve for x
    x = 5,539,718,323,357,904,896/1,991,052,003.80
  6. Step 6: Final answer
    x = 2,782,307,198.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.