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Finding the Fourth Proportional to 411,453,433,650.78, 617,180,150,476.17 and 411,453,433,650.78

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Solution

The fourth proportional to 411,453,433,650.78, 617,180,150,476.17 and 411,453,433,650.78 is: 617,180,150,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,453,433,650.78 : 617,180,150,476.17 = 411,453,433,650.78 : x
  2. Step 2: Convert to fraction form
    411,453,433,650.78/617,180,150,476.17 = 411,453,433,650.78/x
  3. Step 3: Cross multiply
    411,453,433,650.78x = 617,180,150,476.17 × 411,453,433,650.78
  4. Step 4: Simplify right side
    411,453,433,650.78x = 253,940,892,094,525,268,295,680
  5. Step 5: Solve for x
    x = 253,940,892,094,525,268,295,680/411,453,433,650.78
  6. Step 6: Final answer
    x = 617,180,150,476.17

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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.