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Finding the Fourth Proportional to 524,448,608.40, 786,672,912.60 and 320,375,264.40

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Solution

The fourth proportional to 524,448,608.40, 786,672,912.60 and 320,375,264.40 is: 480,562,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,448,608.40 : 786,672,912.60 = 320,375,264.40 : x
  2. Step 2: Convert to fraction form
    524,448,608.40/786,672,912.60 = 320,375,264.40/x
  3. Step 3: Cross multiply
    524,448,608.40x = 786,672,912.60 × 320,375,264.40
  4. Step 4: Simplify right side
    524,448,608.40x = 252,030,542,370,543,072
  5. Step 5: Solve for x
    x = 252,030,542,370,543,072/524,448,608.40
  6. Step 6: Final answer
    x = 480,562,896.60

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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.