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Finding the Fourth Proportional to 256,612,096.80, 384,918,145.20 and 214,096,816.80

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Solution

The fourth proportional to 256,612,096.80, 384,918,145.20 and 214,096,816.80 is: 321,145,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,612,096.80 : 384,918,145.20 = 214,096,816.80 : x
  2. Step 2: Convert to fraction form
    256,612,096.80/384,918,145.20 = 214,096,816.80/x
  3. Step 3: Cross multiply
    256,612,096.80x = 384,918,145.20 × 214,096,816.80
  4. Step 4: Simplify right side
    256,612,096.80x = 82,409,749,615,880,208
  5. Step 5: Solve for x
    x = 82,409,749,615,880,208/256,612,096.80
  6. Step 6: Final answer
    x = 321,145,225.20

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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.