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Finding the Fourth Proportional to 1,258,460,489,317.80, 1,887,690,733,976.50 and 1,258,460,489,317.80

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Solution

The fourth proportional to 1,258,460,489,317.80, 1,887,690,733,976.50 and 1,258,460,489,317.80 is: 1,887,690,733,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,460,489,317.80 : 1,887,690,733,976.50 = 1,258,460,489,317.80 : x
  2. Step 2: Convert to fraction form
    1,258,460,489,317.80/1,887,690,733,976.50 = 1,258,460,489,317.80/x
  3. Step 3: Cross multiply
    1,258,460,489,317.80x = 1,887,690,733,976.50 × 1,258,460,489,317.80
  4. Step 4: Simplify right side
    1,258,460,489,317.80x = 2,375,584,204,760,743,252,328,448
  5. Step 5: Solve for x
    x = 2,375,584,204,760,743,252,328,448/1,258,460,489,317.80
  6. Step 6: Final answer
    x = 1,887,690,733,976.50

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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.