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Finding the Fourth Proportional to 819,657,734.07, 1,131,129,161.04 and 448,379,765.45

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Solution

The fourth proportional to 819,657,734.07, 1,131,129,161.04 and 448,379,765.45 is: 618,764,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,657,734.07 : 1,131,129,161.04 = 448,379,765.45 : x
  2. Step 2: Convert to fraction form
    819,657,734.07/1,131,129,161.04 = 448,379,765.45/x
  3. Step 3: Cross multiply
    819,657,734.07x = 1,131,129,161.04 × 448,379,765.45
  4. Step 4: Simplify right side
    819,657,734.07x = 507,175,427,920,770,432
  5. Step 5: Solve for x
    x = 507,175,427,920,770,432/819,657,734.07
  6. Step 6: Final answer
    x = 618,764,890.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.