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Finding the Fourth Proportional to 475,351,409.20, 665,945,469.20 and 475,351,409.20

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Solution

The fourth proportional to 475,351,409.20, 665,945,469.20 and 475,351,409.20 is: 665,945,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,351,409.20 : 665,945,469.20 = 475,351,409.20 : x
  2. Step 2: Convert to fraction form
    475,351,409.20/665,945,469.20 = 475,351,409.20/x
  3. Step 3: Cross multiply
    475,351,409.20x = 665,945,469.20 × 475,351,409.20
  4. Step 4: Simplify right side
    475,351,409.20x = 316,558,117,234,575,232
  5. Step 5: Solve for x
    x = 316,558,117,234,575,232/475,351,409.20
  6. Step 6: Final answer
    x = 665,945,469.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.