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Finding the Fourth Proportional to 273,097,364.40, 409,646,046.60 and 273,097,364.40

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Solution

The fourth proportional to 273,097,364.40, 409,646,046.60 and 273,097,364.40 is: 409,646,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,097,364.40 : 409,646,046.60 = 273,097,364.40 : x
  2. Step 2: Convert to fraction form
    273,097,364.40/409,646,046.60 = 273,097,364.40/x
  3. Step 3: Cross multiply
    273,097,364.40x = 409,646,046.60 × 273,097,364.40
  4. Step 4: Simplify right side
    273,097,364.40x = 111,873,255,663,339,584
  5. Step 5: Solve for x
    x = 111,873,255,663,339,584/273,097,364.40
  6. Step 6: Final answer
    x = 409,646,046.60

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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.