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Finding the Fourth Proportional to 873,245,842.40, 1,309,868,763.60 and 861,766,716.80

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Solution

The fourth proportional to 873,245,842.40, 1,309,868,763.60 and 861,766,716.80 is: 1,292,650,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,245,842.40 : 1,309,868,763.60 = 861,766,716.80 : x
  2. Step 2: Convert to fraction form
    873,245,842.40/1,309,868,763.60 = 861,766,716.80/x
  3. Step 3: Cross multiply
    873,245,842.40x = 1,309,868,763.60 × 861,766,716.80
  4. Step 4: Simplify right side
    873,245,842.40x = 1,128,801,303,846,447,232
  5. Step 5: Solve for x
    x = 1,128,801,303,846,447,232/873,245,842.40
  6. Step 6: Final answer
    x = 1,292,650,075.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.