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Finding the Fourth Proportional to 1,284,453,640.85, 1,801,863,067.75 and 1,284,453,640.85

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Solution

The fourth proportional to 1,284,453,640.85, 1,801,863,067.75 and 1,284,453,640.85 is: 1,801,863,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,453,640.85 : 1,801,863,067.75 = 1,284,453,640.85 : x
  2. Step 2: Convert to fraction form
    1,284,453,640.85/1,801,863,067.75 = 1,284,453,640.85/x
  3. Step 3: Cross multiply
    1,284,453,640.85x = 1,801,863,067.75 × 1,284,453,640.85
  4. Step 4: Simplify right side
    1,284,453,640.85x = 2,314,409,577,684,637,696
  5. Step 5: Solve for x
    x = 2,314,409,577,684,637,696/1,284,453,640.85
  6. Step 6: Final answer
    x = 1,801,863,067.75

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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.