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Finding the Fourth Proportional to 510,898,299.60, 766,347,449.40 and 349,655,163.60

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Solution

The fourth proportional to 510,898,299.60, 766,347,449.40 and 349,655,163.60 is: 524,482,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,898,299.60 : 766,347,449.40 = 349,655,163.60 : x
  2. Step 2: Convert to fraction form
    510,898,299.60/766,347,449.40 = 349,655,163.60/x
  3. Step 3: Cross multiply
    510,898,299.60x = 766,347,449.40 × 349,655,163.60
  4. Step 4: Simplify right side
    510,898,299.60x = 267,957,342,794,399,744
  5. Step 5: Solve for x
    x = 267,957,342,794,399,744/510,898,299.60
  6. Step 6: Final answer
    x = 524,482,745.40

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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.