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Finding the Fourth Proportional to 273,096,981.20, 409,645,471.80 and 156,392,537.60

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Solution

The fourth proportional to 273,096,981.20, 409,645,471.80 and 156,392,537.60 is: 234,588,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,096,981.20 : 409,645,471.80 = 156,392,537.60 : x
  2. Step 2: Convert to fraction form
    273,096,981.20/409,645,471.80 = 156,392,537.60/x
  3. Step 3: Cross multiply
    273,096,981.20x = 409,645,471.80 × 156,392,537.60
  4. Step 4: Simplify right side
    273,096,981.20x = 64,065,494,851,151,240
  5. Step 5: Solve for x
    x = 64,065,494,851,151,240/273,096,981.20
  6. Step 6: Final answer
    x = 234,588,806.40

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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.