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Finding the Fourth Proportional to 647,889,712.56, 971,634,589.16 and 187,861,785.84

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Solution

The fourth proportional to 647,889,712.56, 971,634,589.16 and 187,861,785.84 is: 281,734,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,889,712.56 : 971,634,589.16 = 187,861,785.84 : x
  2. Step 2: Convert to fraction form
    647,889,712.56/971,634,589.16 = 187,861,785.84/x
  3. Step 3: Cross multiply
    647,889,712.56x = 971,634,589.16 × 187,861,785.84
  4. Step 4: Simplify right side
    647,889,712.56x = 182,533,009,103,512,288
  5. Step 5: Solve for x
    x = 182,533,009,103,512,288/647,889,712.56
  6. Step 6: Final answer
    x = 281,734,692.75

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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.