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Finding the Fourth Proportional to 12,223,147,777.20, 18,334,721,665.80 and 12,223,147,777.20

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Solution

The fourth proportional to 12,223,147,777.20, 18,334,721,665.80 and 12,223,147,777.20 is: 18,334,721,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223,147,777.20 : 18,334,721,665.80 = 12,223,147,777.20 : x
  2. Step 2: Convert to fraction form
    12,223,147,777.20/18,334,721,665.80 = 12,223,147,777.20/x
  3. Step 3: Cross multiply
    12,223,147,777.20x = 18,334,721,665.80 × 12,223,147,777.20
  4. Step 4: Simplify right side
    12,223,147,777.20x = 224,108,012,374,903,947,264
  5. Step 5: Solve for x
    x = 224,108,012,374,903,947,264/12,223,147,777.20
  6. Step 6: Final answer
    x = 18,334,721,665.80

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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.