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Finding the Fourth Proportional to 1,275,264,305.80, 1,909,873,149.90 and 1,275,264,305.80

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Solution

The fourth proportional to 1,275,264,305.80, 1,909,873,149.90 and 1,275,264,305.80 is: 1,909,873,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,264,305.80 : 1,909,873,149.90 = 1,275,264,305.80 : x
  2. Step 2: Convert to fraction form
    1,275,264,305.80/1,909,873,149.90 = 1,275,264,305.80/x
  3. Step 3: Cross multiply
    1,275,264,305.80x = 1,909,873,149.90 × 1,275,264,305.80
  4. Step 4: Simplify right side
    1,275,264,305.80x = 2,435,593,056,673,283,072
  5. Step 5: Solve for x
    x = 2,435,593,056,673,283,072/1,275,264,305.80
  6. Step 6: Final answer
    x = 1,909,873,149.90

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1.5x scale

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.