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Finding the Fourth Proportional to 416,355,093.60, 624,084,742.80 and 157,470,280.80

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Solution

The fourth proportional to 416,355,093.60, 624,084,742.80 and 157,470,280.80 is: 236,036,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,355,093.60 : 624,084,742.80 = 157,470,280.80 : x
  2. Step 2: Convert to fraction form
    416,355,093.60/624,084,742.80 = 157,470,280.80/x
  3. Step 3: Cross multiply
    416,355,093.60x = 624,084,742.80 × 157,470,280.80
  4. Step 4: Simplify right side
    416,355,093.60x = 98,274,799,691,711,776
  5. Step 5: Solve for x
    x = 98,274,799,691,711,776/416,355,093.60
  6. Step 6: Final answer
    x = 236,036,021.18

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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.