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Finding the Fourth Proportional to 865,897,698.05, 1,194,892,801.70 and 489,531,783.60

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Solution

The fourth proportional to 865,897,698.05, 1,194,892,801.70 and 489,531,783.60 is: 675,527,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,897,698.05 : 1,194,892,801.70 = 489,531,783.60 : x
  2. Step 2: Convert to fraction form
    865,897,698.05/1,194,892,801.70 = 489,531,783.60/x
  3. Step 3: Cross multiply
    865,897,698.05x = 1,194,892,801.70 × 489,531,783.60
  4. Step 4: Simplify right side
    865,897,698.05x = 584,938,004,427,002,112
  5. Step 5: Solve for x
    x = 584,938,004,427,002,112/865,897,698.05
  6. Step 6: Final answer
    x = 675,527,843.24

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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.