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Finding the Fourth Proportional to 411,453,433,905.40, 617,180,150,858.10 and 411,453,433,905.40

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Solution

The fourth proportional to 411,453,433,905.40, 617,180,150,858.10 and 411,453,433,905.40 is: 617,180,150,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,453,433,905.40 : 617,180,150,858.10 = 411,453,433,905.40 : x
  2. Step 2: Convert to fraction form
    411,453,433,905.40/617,180,150,858.10 = 411,453,433,905.40/x
  3. Step 3: Cross multiply
    411,453,433,905.40x = 617,180,150,858.10 × 411,453,433,905.40
  4. Step 4: Simplify right side
    411,453,433,905.40x = 253,940,892,408,818,056,560,640
  5. Step 5: Solve for x
    x = 253,940,892,408,818,056,560,640/411,453,433,905.40
  6. Step 6: Final answer
    x = 617,180,150,858.10

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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.