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Finding the Fourth Proportional to 1,991,427,168.60, 2,782,556,080.20 and 1,991,427,168.60

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Solution

The fourth proportional to 1,991,427,168.60, 2,782,556,080.20 and 1,991,427,168.60 is: 2,782,556,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,427,168.60 : 2,782,556,080.20 = 1,991,427,168.60 : x
  2. Step 2: Convert to fraction form
    1,991,427,168.60/2,782,556,080.20 = 1,991,427,168.60/x
  3. Step 3: Cross multiply
    1,991,427,168.60x = 2,782,556,080.20 × 1,991,427,168.60
  4. Step 4: Simplify right side
    1,991,427,168.60x = 5,541,257,776,263,399,424
  5. Step 5: Solve for x
    x = 5,541,257,776,263,399,424/1,991,427,168.60
  6. Step 6: Final answer
    x = 2,782,556,080.20

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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.