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Finding the Fourth Proportional to 411,453,433,459.06, 617,180,150,188.56 and 411,453,433,459.06

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Solution

The fourth proportional to 411,453,433,459.06, 617,180,150,188.56 and 411,453,433,459.06 is: 617,180,150,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,453,433,459.06 : 617,180,150,188.56 = 411,453,433,459.06 : x
  2. Step 2: Convert to fraction form
    411,453,433,459.06/617,180,150,188.56 = 411,453,433,459.06/x
  3. Step 3: Cross multiply
    411,453,433,459.06x = 617,180,150,188.56 × 411,453,433,459.06
  4. Step 4: Simplify right side
    411,453,433,459.06x = 253,940,891,857,861,363,105,792
  5. Step 5: Solve for x
    x = 253,940,891,857,861,363,105,792/411,453,433,459.06
  6. Step 6: Final answer
    x = 617,180,150,188.56

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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.