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Finding the Fourth Proportional to 865,388,476.80, 1,194,296,706.04 and 489,079,842.44

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Solution

The fourth proportional to 865,388,476.80, 1,194,296,706.04 and 489,079,842.44 is: 674,964,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,388,476.80 : 1,194,296,706.04 = 489,079,842.44 : x
  2. Step 2: Convert to fraction form
    865,388,476.80/1,194,296,706.04 = 489,079,842.44/x
  3. Step 3: Cross multiply
    865,388,476.80x = 1,194,296,706.04 × 489,079,842.44
  4. Step 4: Simplify right side
    865,388,476.80x = 584,106,444,816,654,208
  5. Step 5: Solve for x
    x = 584,106,444,816,654,208/865,388,476.80
  6. Step 6: Final answer
    x = 674,964,435.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.