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Finding the Fourth Proportional to 814,921,639.80, 1,222,382,459.70 and 814,921,639.80

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Solution

The fourth proportional to 814,921,639.80, 1,222,382,459.70 and 814,921,639.80 is: 1,222,382,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,921,639.80 : 1,222,382,459.70 = 814,921,639.80 : x
  2. Step 2: Convert to fraction form
    814,921,639.80/1,222,382,459.70 = 814,921,639.80/x
  3. Step 3: Cross multiply
    814,921,639.80x = 1,222,382,459.70 × 814,921,639.80
  4. Step 4: Simplify right side
    814,921,639.80x = 996,145,918,521,481,344
  5. Step 5: Solve for x
    x = 996,145,918,521,481,344/814,921,639.80
  6. Step 6: Final answer
    x = 1,222,382,459.70

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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.