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Finding the Fourth Proportional to 458,470,728.80, 687,706,093.20 and 228,888,216.80

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Solution

The fourth proportional to 458,470,728.80, 687,706,093.20 and 228,888,216.80 is: 343,332,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,470,728.80 : 687,706,093.20 = 228,888,216.80 : x
  2. Step 2: Convert to fraction form
    458,470,728.80/687,706,093.20 = 228,888,216.80/x
  3. Step 3: Cross multiply
    458,470,728.80x = 687,706,093.20 × 228,888,216.80
  4. Step 4: Simplify right side
    458,470,728.80x = 157,407,821,355,042,624
  5. Step 5: Solve for x
    x = 157,407,821,355,042,624/458,470,728.80
  6. Step 6: Final answer
    x = 343,332,325.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.