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Finding the Fourth Proportional to 200,204,098.40, 280,688,845.60 and 200,204,098.40

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Solution

The fourth proportional to 200,204,098.40, 280,688,845.60 and 200,204,098.40 is: 280,688,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,204,098.40 : 280,688,845.60 = 200,204,098.40 : x
  2. Step 2: Convert to fraction form
    200,204,098.40/280,688,845.60 = 200,204,098.40/x
  3. Step 3: Cross multiply
    200,204,098.40x = 280,688,845.60 × 200,204,098.40
  4. Step 4: Simplify right side
    200,204,098.40x = 56,195,057,264,284,816
  5. Step 5: Solve for x
    x = 56,195,057,264,284,816/200,204,098.40
  6. Step 6: Final answer
    x = 280,688,845.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.