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Finding the Fourth Proportional to 411,453,433,464.90, 617,180,150,197.35 and 411,453,433,464.90

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Solution

The fourth proportional to 411,453,433,464.90, 617,180,150,197.35 and 411,453,433,464.90 is: 617,180,150,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,453,433,464.90 : 617,180,150,197.35 = 411,453,433,464.90 : x
  2. Step 2: Convert to fraction form
    411,453,433,464.90/617,180,150,197.35 = 411,453,433,464.90/x
  3. Step 3: Cross multiply
    411,453,433,464.90x = 617,180,150,197.35 × 411,453,433,464.90
  4. Step 4: Simplify right side
    411,453,433,464.90x = 253,940,891,865,082,343,981,056
  5. Step 5: Solve for x
    x = 253,940,891,865,082,343,981,056/411,453,433,464.90
  6. Step 6: Final answer
    x = 617,180,150,197.35

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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.