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Finding the Fourth Proportional to 419,429,231.60, 629,143,847.40 and 256,170,556.40

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Solution

The fourth proportional to 419,429,231.60, 629,143,847.40 and 256,170,556.40 is: 384,255,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,429,231.60 : 629,143,847.40 = 256,170,556.40 : x
  2. Step 2: Convert to fraction form
    419,429,231.60/629,143,847.40 = 256,170,556.40/x
  3. Step 3: Cross multiply
    419,429,231.60x = 629,143,847.40 × 256,170,556.40
  4. Step 4: Simplify right side
    419,429,231.60x = 161,168,129,444,094,688
  5. Step 5: Solve for x
    x = 161,168,129,444,094,688/419,429,231.60
  6. Step 6: Final answer
    x = 384,255,834.60

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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.