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Finding the Fourth Proportional to 200,623,672.65, 300,935,508.98 and 200,623,672.65

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Solution

The fourth proportional to 200,623,672.65, 300,935,508.98 and 200,623,672.65 is: 300,935,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,623,672.65 : 300,935,508.98 = 200,623,672.65 : x
  2. Step 2: Convert to fraction form
    200,623,672.65/300,935,508.98 = 200,623,672.65/x
  3. Step 3: Cross multiply
    200,623,672.65x = 300,935,508.98 × 200,623,672.65
  4. Step 4: Simplify right side
    200,623,672.65x = 60,374,787,041,361,544
  5. Step 5: Solve for x
    x = 60,374,787,041,361,544/200,623,672.65
  6. Step 6: Final answer
    x = 300,935,508.98

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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.