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Finding the Fourth Proportional to 873,767,361.20, 1,310,651,041.80 and 798,940,468.40

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Solution

The fourth proportional to 873,767,361.20, 1,310,651,041.80 and 798,940,468.40 is: 1,198,410,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,767,361.20 : 1,310,651,041.80 = 798,940,468.40 : x
  2. Step 2: Convert to fraction form
    873,767,361.20/1,310,651,041.80 = 798,940,468.40/x
  3. Step 3: Cross multiply
    873,767,361.20x = 1,310,651,041.80 × 798,940,468.40
  4. Step 4: Simplify right side
    873,767,361.20x = 1,047,132,157,244,639,872
  5. Step 5: Solve for x
    x = 1,047,132,157,244,639,872/873,767,361.20
  6. Step 6: Final answer
    x = 1,198,410,702.60

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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.