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Finding the Fourth Proportional to 273,138,742.80, 409,708,114.20 and 189,915,082.20

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Solution

The fourth proportional to 273,138,742.80, 409,708,114.20 and 189,915,082.20 is: 284,872,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,138,742.80 : 409,708,114.20 = 189,915,082.20 : x
  2. Step 2: Convert to fraction form
    273,138,742.80/409,708,114.20 = 189,915,082.20/x
  3. Step 3: Cross multiply
    273,138,742.80x = 409,708,114.20 × 189,915,082.20
  4. Step 4: Simplify right side
    273,138,742.80x = 77,809,750,186,299,984
  5. Step 5: Solve for x
    x = 77,809,750,186,299,984/273,138,742.80
  6. Step 6: Final answer
    x = 284,872,623.30

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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.