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Finding the Fourth Proportional to 512,337,219.66, 767,701,093.68 and 396,037,546.02

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Solution

The fourth proportional to 512,337,219.66, 767,701,093.68 and 396,037,546.02 is: 593,434,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,337,219.66 : 767,701,093.68 = 396,037,546.02 : x
  2. Step 2: Convert to fraction form
    512,337,219.66/767,701,093.68 = 396,037,546.02/x
  3. Step 3: Cross multiply
    512,337,219.66x = 767,701,093.68 × 396,037,546.02
  4. Step 4: Simplify right side
    512,337,219.66x = 304,038,457,217,897,280
  5. Step 5: Solve for x
    x = 304,038,457,217,897,280/512,337,219.66
  6. Step 6: Final answer
    x = 593,434,256.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.