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Finding the Fourth Proportional to 1,977,961,758, 2,966,869,413 and 798,052,513.20

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Solution

The fourth proportional to 1,977,961,758, 2,966,869,413 and 798,052,513.20 is: 1,197,049,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,961,758 : 2,966,869,413 = 798,052,513.20 : x
  2. Step 2: Convert to fraction form
    1,977,961,758/2,966,869,413 = 798,052,513.20/x
  3. Step 3: Cross multiply
    1,977,961,758x = 2,966,869,413 × 798,052,513.20
  4. Step 4: Simplify right side
    1,977,961,758x = 2,367,717,591,380,858,880
  5. Step 5: Solve for x
    x = 2,367,717,591,380,858,880/1,977,961,758
  6. Step 6: Final answer
    x = 1,197,049,225.95

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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.