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Finding the Fourth Proportional to 488,352,704.70, 732,529,057.05 and 422,595,738.30

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Solution

The fourth proportional to 488,352,704.70, 732,529,057.05 and 422,595,738.30 is: 633,893,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,352,704.70 : 732,529,057.05 = 422,595,738.30 : x
  2. Step 2: Convert to fraction form
    488,352,704.70/732,529,057.05 = 422,595,738.30/x
  3. Step 3: Cross multiply
    488,352,704.70x = 732,529,057.05 × 422,595,738.30
  4. Step 4: Simplify right side
    488,352,704.70x = 309,563,657,690,247,552
  5. Step 5: Solve for x
    x = 309,563,657,690,247,552/488,352,704.70
  6. Step 6: Final answer
    x = 633,893,607.45

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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.