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Finding the Fourth Proportional to 598,080,114.80, 897,521,413.80 and 209,902,194.80

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Solution

The fourth proportional to 598,080,114.80, 897,521,413.80 and 209,902,194.80 is: 314,994,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,080,114.80 : 897,521,413.80 = 209,902,194.80 : x
  2. Step 2: Convert to fraction form
    598,080,114.80/897,521,413.80 = 209,902,194.80/x
  3. Step 3: Cross multiply
    598,080,114.80x = 897,521,413.80 × 209,902,194.80
  4. Step 4: Simplify right side
    598,080,114.80x = 188,391,714,636,619,008
  5. Step 5: Solve for x
    x = 188,391,714,636,619,008/598,080,114.80
  6. Step 6: Final answer
    x = 314,994,111.95

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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.