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Finding the Fourth Proportional to 320,380,400.40, 480,570,600.60 and 320,380,400.40

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Solution

The fourth proportional to 320,380,400.40, 480,570,600.60 and 320,380,400.40 is: 480,570,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,380,400.40 : 480,570,600.60 = 320,380,400.40 : x
  2. Step 2: Convert to fraction form
    320,380,400.40/480,570,600.60 = 320,380,400.40/x
  3. Step 3: Cross multiply
    320,380,400.40x = 480,570,600.60 × 320,380,400.40
  4. Step 4: Simplify right side
    320,380,400.40x = 153,965,401,440,696,480
  5. Step 5: Solve for x
    x = 153,965,401,440,696,480/320,380,400.40
  6. Step 6: Final answer
    x = 480,570,600.60

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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.