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Finding the Fourth Proportional to 533,697,907.60, 800,546,861.40 and 189,040,704.40

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Solution

The fourth proportional to 533,697,907.60, 800,546,861.40 and 189,040,704.40 is: 283,561,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,697,907.60 : 800,546,861.40 = 189,040,704.40 : x
  2. Step 2: Convert to fraction form
    533,697,907.60/800,546,861.40 = 189,040,704.40/x
  3. Step 3: Cross multiply
    533,697,907.60x = 800,546,861.40 × 189,040,704.40
  4. Step 4: Simplify right side
    533,697,907.60x = 151,335,942,584,265,184
  5. Step 5: Solve for x
    x = 151,335,942,584,265,184/533,697,907.60
  6. Step 6: Final answer
    x = 283,561,056.60

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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.