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Finding the Fourth Proportional to 200,530,404,423.13, 300,795,606,634.70 and 200,530,404,423.13

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Solution

The fourth proportional to 200,530,404,423.13, 300,795,606,634.70 and 200,530,404,423.13 is: 300,795,606,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530,404,423.13 : 300,795,606,634.70 = 200,530,404,423.13 : x
  2. Step 2: Convert to fraction form
    200,530,404,423.13/300,795,606,634.70 = 200,530,404,423.13/x
  3. Step 3: Cross multiply
    200,530,404,423.13x = 300,795,606,634.70 × 200,530,404,423.13
  4. Step 4: Simplify right side
    200,530,404,423.13x = 60,318,664,647,157,122,859,008
  5. Step 5: Solve for x
    x = 60,318,664,647,157,122,859,008/200,530,404,423.13
  6. Step 6: Final answer
    x = 300,795,606,634.70

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1.5x scale

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.