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Finding the Fourth Proportional to 78,294,283.86, 117,456,549.89 and 29,768,364.54

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Solution

The fourth proportional to 78,294,283.86, 117,456,549.89 and 29,768,364.54 is: 44,658,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294,283.86 : 117,456,549.89 = 29,768,364.54 : x
  2. Step 2: Convert to fraction form
    78,294,283.86/117,456,549.89 = 29,768,364.54/x
  3. Step 3: Cross multiply
    78,294,283.86x = 117,456,549.89 × 29,768,364.54
  4. Step 4: Simplify right side
    78,294,283.86x = 3,496,489,394,587,375
  5. Step 5: Solve for x
    x = 3,496,489,394,587,375/78,294,283.86
  6. Step 6: Final answer
    x = 44,658,297.16

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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.