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Finding the Fourth Proportional to 284,004,366.80, 426,049,123.80 and 120,241,806.80

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Solution

The fourth proportional to 284,004,366.80, 426,049,123.80 and 120,241,806.80 is: 180,380,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,004,366.80 : 426,049,123.80 = 120,241,806.80 : x
  2. Step 2: Convert to fraction form
    284,004,366.80/426,049,123.80 = 120,241,806.80/x
  3. Step 3: Cross multiply
    284,004,366.80x = 426,049,123.80 × 120,241,806.80
  4. Step 4: Simplify right side
    284,004,366.80x = 51,228,916,431,268,880
  5. Step 5: Solve for x
    x = 51,228,916,431,268,880/284,004,366.80
  6. Step 6: Final answer
    x = 180,380,735.02

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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.