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Finding the Fourth Proportional to 322,929,139,499.60, 484,393,709,249.40 and 322,929,139,499.60

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Solution

The fourth proportional to 322,929,139,499.60, 484,393,709,249.40 and 322,929,139,499.60 is: 484,393,709,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,929,139,499.60 : 484,393,709,249.40 = 322,929,139,499.60 : x
  2. Step 2: Convert to fraction form
    322,929,139,499.60/484,393,709,249.40 = 322,929,139,499.60/x
  3. Step 3: Cross multiply
    322,929,139,499.60x = 484,393,709,249.40 × 322,929,139,499.60
  4. Step 4: Simplify right side
    322,929,139,499.60x = 156,424,843,706,928,182,853,632
  5. Step 5: Solve for x
    x = 156,424,843,706,928,182,853,632/322,929,139,499.60
  6. Step 6: Final answer
    x = 484,393,709,249.40

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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.