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Finding the Fourth Proportional to 1,991,052,003.30, 2,782,307,198.10 and 1,991,052,003.30

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Solution

The fourth proportional to 1,991,052,003.30, 2,782,307,198.10 and 1,991,052,003.30 is: 2,782,307,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,052,003.30 : 2,782,307,198.10 = 1,991,052,003.30 : x
  2. Step 2: Convert to fraction form
    1,991,052,003.30/2,782,307,198.10 = 1,991,052,003.30/x
  3. Step 3: Cross multiply
    1,991,052,003.30x = 2,782,307,198.10 × 1,991,052,003.30
  4. Step 4: Simplify right side
    1,991,052,003.30x = 5,539,718,320,573,015,040
  5. Step 5: Solve for x
    x = 5,539,718,320,573,015,040/1,991,052,003.30
  6. Step 6: Final answer
    x = 2,782,307,198.10

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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.