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Finding the Fourth Proportional to 200,530,404,411.14, 300,795,606,616.70 and 200,530,404,411.14

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Solution

The fourth proportional to 200,530,404,411.14, 300,795,606,616.70 and 200,530,404,411.14 is: 300,795,606,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530,404,411.14 : 300,795,606,616.70 = 200,530,404,411.14 : x
  2. Step 2: Convert to fraction form
    200,530,404,411.14/300,795,606,616.70 = 200,530,404,411.14/x
  3. Step 3: Cross multiply
    200,530,404,411.14x = 300,795,606,616.70 × 200,530,404,411.14
  4. Step 4: Simplify right side
    200,530,404,411.14x = 60,318,664,639,941,032,542,208
  5. Step 5: Solve for x
    x = 60,318,664,639,941,032,542,208/200,530,404,411.14
  6. Step 6: Final answer
    x = 300,795,606,616.70

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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.