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Finding the Fourth Proportional to 272,874,209.40, 409,311,314.10 and 272,874,209.40

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Solution

The fourth proportional to 272,874,209.40, 409,311,314.10 and 272,874,209.40 is: 409,311,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,874,209.40 : 409,311,314.10 = 272,874,209.40 : x
  2. Step 2: Convert to fraction form
    272,874,209.40/409,311,314.10 = 272,874,209.40/x
  3. Step 3: Cross multiply
    272,874,209.40x = 409,311,314.10 × 272,874,209.40
  4. Step 4: Simplify right side
    272,874,209.40x = 111,690,501,233,512,576
  5. Step 5: Solve for x
    x = 111,690,501,233,512,576/272,874,209.40
  6. Step 6: Final answer
    x = 409,311,314.10

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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.