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Finding the Fourth Proportional to 865,897,698.56, 1,194,892,802.39 and 489,531,784.11

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Solution

The fourth proportional to 865,897,698.56, 1,194,892,802.39 and 489,531,784.11 is: 675,527,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,897,698.56 : 1,194,892,802.39 = 489,531,784.11 : x
  2. Step 2: Convert to fraction form
    865,897,698.56/1,194,892,802.39 = 489,531,784.11/x
  3. Step 3: Cross multiply
    865,897,698.56x = 1,194,892,802.39 × 489,531,784.11
  4. Step 4: Simplify right side
    865,897,698.56x = 584,938,005,371,726,720
  5. Step 5: Solve for x
    x = 584,938,005,371,726,720/865,897,698.56
  6. Step 6: Final answer
    x = 675,527,843.93

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Why These Related Problems?

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