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Finding the Fourth Proportional to 523,786,637.62, 722,843,009.72 and 285,644,815.42

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Solution

The fourth proportional to 523,786,637.62, 722,843,009.72 and 285,644,815.42 is: 394,199,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,786,637.62 : 722,843,009.72 = 285,644,815.42 : x
  2. Step 2: Convert to fraction form
    523,786,637.62/722,843,009.72 = 285,644,815.42/x
  3. Step 3: Cross multiply
    523,786,637.62x = 722,843,009.72 × 285,644,815.42
  4. Step 4: Simplify right side
    523,786,637.62x = 206,476,358,089,106,688
  5. Step 5: Solve for x
    x = 206,476,358,089,106,688/523,786,637.62
  6. Step 6: Final answer
    x = 394,199,361.46

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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.