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Finding the Fourth Proportional to 416,577,163.90, 624,865,745.85 and 349,056,600.70

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Solution

The fourth proportional to 416,577,163.90, 624,865,745.85 and 349,056,600.70 is: 523,584,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,577,163.90 : 624,865,745.85 = 349,056,600.70 : x
  2. Step 2: Convert to fraction form
    416,577,163.90/624,865,745.85 = 349,056,600.70/x
  3. Step 3: Cross multiply
    416,577,163.90x = 624,865,745.85 × 349,056,600.70
  4. Step 4: Simplify right side
    416,577,163.90x = 218,113,513,140,271,136
  5. Step 5: Solve for x
    x = 218,113,513,140,271,136/416,577,163.90
  6. Step 6: Final answer
    x = 523,584,901.05

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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.