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Finding the Fourth Proportional to 419,429,237.60, 629,143,856.40 and 256,170,562.40

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Solution

The fourth proportional to 419,429,237.60, 629,143,856.40 and 256,170,562.40 is: 384,255,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,429,237.60 : 629,143,856.40 = 256,170,562.40 : x
  2. Step 2: Convert to fraction form
    419,429,237.60/629,143,856.40 = 256,170,562.40/x
  3. Step 3: Cross multiply
    419,429,237.60x = 629,143,856.40 × 256,170,562.40
  4. Step 4: Simplify right side
    419,429,237.60x = 161,168,135,524,492,832
  5. Step 5: Solve for x
    x = 161,168,135,524,492,832/419,429,237.60
  6. Step 6: Final answer
    x = 384,255,843.60

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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.