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Finding the Fourth Proportional to 814,921,569.68, 1,222,382,354.51 and 814,921,569.68

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Solution

The fourth proportional to 814,921,569.68, 1,222,382,354.51 and 814,921,569.68 is: 1,222,382,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,921,569.68 : 1,222,382,354.51 = 814,921,569.68 : x
  2. Step 2: Convert to fraction form
    814,921,569.68/1,222,382,354.51 = 814,921,569.68/x
  3. Step 3: Cross multiply
    814,921,569.68x = 1,222,382,354.51 × 814,921,569.68
  4. Step 4: Simplify right side
    814,921,569.68x = 996,145,747,082,348,800
  5. Step 5: Solve for x
    x = 996,145,747,082,348,800/814,921,569.68
  6. Step 6: Final answer
    x = 1,222,382,354.51

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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.