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Finding the Fourth Proportional to 862,578,514.78, 1,293,867,772.17 and 862,578,514.78

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Solution

The fourth proportional to 862,578,514.78, 1,293,867,772.17 and 862,578,514.78 is: 1,293,867,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,578,514.78 : 1,293,867,772.17 = 862,578,514.78 : x
  2. Step 2: Convert to fraction form
    862,578,514.78/1,293,867,772.17 = 862,578,514.78/x
  3. Step 3: Cross multiply
    862,578,514.78x = 1,293,867,772.17 × 862,578,514.78
  4. Step 4: Simplify right side
    862,578,514.78x = 1,116,062,541,229,323,776
  5. Step 5: Solve for x
    x = 1,116,062,541,229,323,776/862,578,514.78
  6. Step 6: Final answer
    x = 1,293,867,772.17

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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.