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Finding the Fourth Proportional to 200,653,963.80, 300,980,945.70 and 200,653,963.80

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Solution

The fourth proportional to 200,653,963.80, 300,980,945.70 and 200,653,963.80 is: 300,980,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,653,963.80 : 300,980,945.70 = 200,653,963.80 : x
  2. Step 2: Convert to fraction form
    200,653,963.80/300,980,945.70 = 200,653,963.80/x
  3. Step 3: Cross multiply
    200,653,963.80x = 300,980,945.70 × 200,653,963.80
  4. Step 4: Simplify right side
    200,653,963.80x = 60,393,019,782,977,568
  5. Step 5: Solve for x
    x = 60,393,019,782,977,568/200,653,963.80
  6. Step 6: Final answer
    x = 300,980,945.70

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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.