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Finding the Fourth Proportional to 819,985,514.70, 1,229,978,272.05 and 819,985,514.70

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Solution

The fourth proportional to 819,985,514.70, 1,229,978,272.05 and 819,985,514.70 is: 1,229,978,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,985,514.70 : 1,229,978,272.05 = 819,985,514.70 : x
  2. Step 2: Convert to fraction form
    819,985,514.70/1,229,978,272.05 = 819,985,514.70/x
  3. Step 3: Cross multiply
    819,985,514.70x = 1,229,978,272.05 × 819,985,514.70
  4. Step 4: Simplify right side
    819,985,514.70x = 1,008,564,366,476,735,872
  5. Step 5: Solve for x
    x = 1,008,564,366,476,735,872/819,985,514.70
  6. Step 6: Final answer
    x = 1,229,978,272.05

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Double scale
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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.