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Finding the Fourth Proportional to 524,448,003.20, 786,672,004.80 and 252,350,211.20

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Solution

The fourth proportional to 524,448,003.20, 786,672,004.80 and 252,350,211.20 is: 378,525,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,448,003.20 : 786,672,004.80 = 252,350,211.20 : x
  2. Step 2: Convert to fraction form
    524,448,003.20/786,672,004.80 = 252,350,211.20/x
  3. Step 3: Cross multiply
    524,448,003.20x = 786,672,004.80 × 252,350,211.20
  4. Step 4: Simplify right side
    524,448,003.20x = 198,516,846,556,407,392
  5. Step 5: Solve for x
    x = 198,516,846,556,407,392/524,448,003.20
  6. Step 6: Final answer
    x = 378,525,316.80

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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.