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Finding the Fourth Proportional to 533,794,329.60, 800,691,494.40 and 328,657,228.80

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Solution

The fourth proportional to 533,794,329.60, 800,691,494.40 and 328,657,228.80 is: 492,985,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,794,329.60 : 800,691,494.40 = 328,657,228.80 : x
  2. Step 2: Convert to fraction form
    533,794,329.60/800,691,494.40 = 328,657,228.80/x
  3. Step 3: Cross multiply
    533,794,329.60x = 800,691,494.40 × 328,657,228.80
  4. Step 4: Simplify right side
    533,794,329.60x = 263,153,047,673,234,720
  5. Step 5: Solve for x
    x = 263,153,047,673,234,720/533,794,329.60
  6. Step 6: Final answer
    x = 492,985,843.20

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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.