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Finding the Fourth Proportional to 20,183,185,890.45, 30,274,778,835.68 and 20,183,185,890.45

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Solution

The fourth proportional to 20,183,185,890.45, 30,274,778,835.68 and 20,183,185,890.45 is: 30,274,778,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183,185,890.45 : 30,274,778,835.68 = 20,183,185,890.45 : x
  2. Step 2: Convert to fraction form
    20,183,185,890.45/30,274,778,835.68 = 20,183,185,890.45/x
  3. Step 3: Cross multiply
    20,183,185,890.45x = 30,274,778,835.68 × 20,183,185,890.45
  4. Step 4: Simplify right side
    20,183,185,890.45x = 611,041,489,032,690,008,064
  5. Step 5: Solve for x
    x = 611,041,489,032,690,008,064/20,183,185,890.45
  6. Step 6: Final answer
    x = 30,274,778,835.68

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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.