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Finding the Fourth Proportional to 2,646,866,494.80, 3,970,449,041.40 and 806,679,205.20

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Solution

The fourth proportional to 2,646,866,494.80, 3,970,449,041.40 and 806,679,205.20 is: 1,210,064,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646,866,494.80 : 3,970,449,041.40 = 806,679,205.20 : x
  2. Step 2: Convert to fraction form
    2,646,866,494.80/3,970,449,041.40 = 806,679,205.20/x
  3. Step 3: Cross multiply
    2,646,866,494.80x = 3,970,449,041.40 × 806,679,205.20
  4. Step 4: Simplify right side
    2,646,866,494.80x = 3,202,878,677,003,654,144
  5. Step 5: Solve for x
    x = 3,202,878,677,003,654,144/2,646,866,494.80
  6. Step 6: Final answer
    x = 1,210,064,309.36

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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.