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Finding the Fourth Proportional to 1,160,992,920.90, 1,629,981,739.50 and 1,160,992,920.90

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Solution

The fourth proportional to 1,160,992,920.90, 1,629,981,739.50 and 1,160,992,920.90 is: 1,629,981,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,992,920.90 : 1,629,981,739.50 = 1,160,992,920.90 : x
  2. Step 2: Convert to fraction form
    1,160,992,920.90/1,629,981,739.50 = 1,160,992,920.90/x
  3. Step 3: Cross multiply
    1,160,992,920.90x = 1,629,981,739.50 × 1,160,992,920.90
  4. Step 4: Simplify right side
    1,160,992,920.90x = 1,892,397,260,755,768,064
  5. Step 5: Solve for x
    x = 1,892,397,260,755,768,064/1,160,992,920.90
  6. Step 6: Final answer
    x = 1,629,981,739.50

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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.