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Finding the Fourth Proportional to 200,571,497.70, 300,857,246.55 and 183,352,809.30

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Solution

The fourth proportional to 200,571,497.70, 300,857,246.55 and 183,352,809.30 is: 275,029,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,571,497.70 : 300,857,246.55 = 183,352,809.30 : x
  2. Step 2: Convert to fraction form
    200,571,497.70/300,857,246.55 = 183,352,809.30/x
  3. Step 3: Cross multiply
    200,571,497.70x = 300,857,246.55 × 183,352,809.30
  4. Step 4: Simplify right side
    200,571,497.70x = 55,163,021,353,205,240
  5. Step 5: Solve for x
    x = 55,163,021,353,205,240/200,571,497.70
  6. Step 6: Final answer
    x = 275,029,213.95

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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.