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Finding the Fourth Proportional to 389,959,596,003.80, 584,939,394,005.70 and 389,959,596,003.80

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Solution

The fourth proportional to 389,959,596,003.80, 584,939,394,005.70 and 389,959,596,003.80 is: 584,939,394,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,959,596,003.80 : 584,939,394,005.70 = 389,959,596,003.80 : x
  2. Step 2: Convert to fraction form
    389,959,596,003.80/584,939,394,005.70 = 389,959,596,003.80/x
  3. Step 3: Cross multiply
    389,959,596,003.80x = 584,939,394,005.70 × 389,959,596,003.80
  4. Step 4: Simplify right side
    389,959,596,003.80x = 228,102,729,773,170,322,046,976
  5. Step 5: Solve for x
    x = 228,102,729,773,170,322,046,976/389,959,596,003.80
  6. Step 6: Final answer
    x = 584,939,394,005.70

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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.