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Finding the Fourth Proportional to 1,284,453,640.35, 1,801,863,067.05 and 1,284,453,640.35

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Solution

The fourth proportional to 1,284,453,640.35, 1,801,863,067.05 and 1,284,453,640.35 is: 1,801,863,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,453,640.35 : 1,801,863,067.05 = 1,284,453,640.35 : x
  2. Step 2: Convert to fraction form
    1,284,453,640.35/1,801,863,067.05 = 1,284,453,640.35/x
  3. Step 3: Cross multiply
    1,284,453,640.35x = 1,801,863,067.05 × 1,284,453,640.35
  4. Step 4: Simplify right side
    1,284,453,640.35x = 2,314,409,575,884,588,544
  5. Step 5: Solve for x
    x = 2,314,409,575,884,588,544/1,284,453,640.35
  6. Step 6: Final answer
    x = 1,801,863,067.05

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