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Finding the Fourth Proportional to 411,734,586,015.20, 617,601,879,022.80 and 411,734,586,015.20

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Solution

The fourth proportional to 411,734,586,015.20, 617,601,879,022.80 and 411,734,586,015.20 is: 617,601,879,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,734,586,015.20 : 617,601,879,022.80 = 411,734,586,015.20 : x
  2. Step 2: Convert to fraction form
    411,734,586,015.20/617,601,879,022.80 = 411,734,586,015.20/x
  3. Step 3: Cross multiply
    411,734,586,015.20x = 617,601,879,022.80 × 411,734,586,015.20
  4. Step 4: Simplify right side
    411,734,586,015.20x = 254,288,053,981,662,215,667,712
  5. Step 5: Solve for x
    x = 254,288,053,981,662,215,667,712/411,734,586,015.20
  6. Step 6: Final answer
    x = 617,601,879,022.80

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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.