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Finding the Fourth Proportional to 200,530,404,411.30, 300,795,606,616.95 and 200,530,404,411.30

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Solution

The fourth proportional to 200,530,404,411.30, 300,795,606,616.95 and 200,530,404,411.30 is: 300,795,606,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530,404,411.30 : 300,795,606,616.95 = 200,530,404,411.30 : x
  2. Step 2: Convert to fraction form
    200,530,404,411.30/300,795,606,616.95 = 200,530,404,411.30/x
  3. Step 3: Cross multiply
    200,530,404,411.30x = 300,795,606,616.95 × 200,530,404,411.30
  4. Step 4: Simplify right side
    200,530,404,411.30x = 60,318,664,640,039,288,307,712
  5. Step 5: Solve for x
    x = 60,318,664,640,039,288,307,712/200,530,404,411.30
  6. Step 6: Final answer
    x = 300,795,606,616.95

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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.