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Finding the Fourth Proportional to 18,199,362,777.80, 27,299,044,166.70 and 18,199,362,777.80

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Solution

The fourth proportional to 18,199,362,777.80, 27,299,044,166.70 and 18,199,362,777.80 is: 27,299,044,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,199,362,777.80 : 27,299,044,166.70 = 18,199,362,777.80 : x
  2. Step 2: Convert to fraction form
    18,199,362,777.80/27,299,044,166.70 = 18,199,362,777.80/x
  3. Step 3: Cross multiply
    18,199,362,777.80x = 27,299,044,166.70 × 18,199,362,777.80
  4. Step 4: Simplify right side
    18,199,362,777.80x = 496,825,208,276,958,183,424
  5. Step 5: Solve for x
    x = 496,825,208,276,958,183,424/18,199,362,777.80
  6. Step 6: Final answer
    x = 27,299,044,166.70

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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.