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Finding the Fourth Proportional to 632,608,101.60, 947,319,627.60 and 416,024,728.80

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Solution

The fourth proportional to 632,608,101.60, 947,319,627.60 and 416,024,728.80 is: 622,989,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,608,101.60 : 947,319,627.60 = 416,024,728.80 : x
  2. Step 2: Convert to fraction form
    632,608,101.60/947,319,627.60 = 416,024,728.80/x
  3. Step 3: Cross multiply
    632,608,101.60x = 947,319,627.60 × 416,024,728.80
  4. Step 4: Simplify right side
    632,608,101.60x = 394,108,391,159,207,040
  5. Step 5: Solve for x
    x = 394,108,391,159,207,040/632,608,101.60
  6. Step 6: Final answer
    x = 622,989,794.41

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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.