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Finding the Fourth Proportional to 200,593,838.70, 300,890,758.05 and 200,593,838.70

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Solution

The fourth proportional to 200,593,838.70, 300,890,758.05 and 200,593,838.70 is: 300,890,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,593,838.70 : 300,890,758.05 = 200,593,838.70 : x
  2. Step 2: Convert to fraction form
    200,593,838.70/300,890,758.05 = 200,593,838.70/x
  3. Step 3: Cross multiply
    200,593,838.70x = 300,890,758.05 × 200,593,838.70
  4. Step 4: Simplify right side
    200,593,838.70x = 60,356,832,186,602,424
  5. Step 5: Solve for x
    x = 60,356,832,186,602,424/200,593,838.70
  6. Step 6: Final answer
    x = 300,890,758.05

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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.