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Finding the Fourth Proportional to 1,160,992,934.90, 1,629,981,759.10 and 1,160,992,934.90

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Solution

The fourth proportional to 1,160,992,934.90, 1,629,981,759.10 and 1,160,992,934.90 is: 1,629,981,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,992,934.90 : 1,629,981,759.10 = 1,160,992,934.90 : x
  2. Step 2: Convert to fraction form
    1,160,992,934.90/1,629,981,759.10 = 1,160,992,934.90/x
  3. Step 3: Cross multiply
    1,160,992,934.90x = 1,629,981,759.10 × 1,160,992,934.90
  4. Step 4: Simplify right side
    1,160,992,934.90x = 1,892,397,306,330,973,952
  5. Step 5: Solve for x
    x = 1,892,397,306,330,973,952/1,160,992,934.90
  6. Step 6: Final answer
    x = 1,629,981,759.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.