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Finding the Fourth Proportional to 632,608,163.60, 947,319,720.60 and 416,024,790.80

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Solution

The fourth proportional to 632,608,163.60, 947,319,720.60 and 416,024,790.80 is: 622,989,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,608,163.60 : 947,319,720.60 = 416,024,790.80 : x
  2. Step 2: Convert to fraction form
    632,608,163.60/947,319,720.60 = 416,024,790.80/x
  3. Step 3: Cross multiply
    632,608,163.60x = 947,319,720.60 × 416,024,790.80
  4. Step 4: Simplify right side
    632,608,163.60x = 394,108,488,583,329,472
  5. Step 5: Solve for x
    x = 394,108,488,583,329,472/632,608,163.60
  6. Step 6: Final answer
    x = 622,989,887.36

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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.