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Finding the Fourth Proportional to 814,921,768.80, 1,222,382,653.20 and 814,921,768.80

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Solution

The fourth proportional to 814,921,768.80, 1,222,382,653.20 and 814,921,768.80 is: 1,222,382,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,921,768.80 : 1,222,382,653.20 = 814,921,768.80 : x
  2. Step 2: Convert to fraction form
    814,921,768.80/1,222,382,653.20 = 814,921,768.80/x
  3. Step 3: Cross multiply
    814,921,768.80x = 1,222,382,653.20 × 814,921,768.80
  4. Step 4: Simplify right side
    814,921,768.80x = 996,146,233,896,180,992
  5. Step 5: Solve for x
    x = 996,146,233,896,180,992/814,921,768.80
  6. Step 6: Final answer
    x = 1,222,382,653.20

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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.