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Finding the Fourth Proportional to 19,831,715,998.80, 29,747,573,998.20 and 19,831,715,998.80

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Solution

The fourth proportional to 19,831,715,998.80, 29,747,573,998.20 and 19,831,715,998.80 is: 29,747,573,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831,715,998.80 : 29,747,573,998.20 = 19,831,715,998.80 : x
  2. Step 2: Convert to fraction form
    19,831,715,998.80/29,747,573,998.20 = 19,831,715,998.80/x
  3. Step 3: Cross multiply
    19,831,715,998.80x = 29,747,573,998.20 × 19,831,715,998.80
  4. Step 4: Simplify right side
    19,831,715,998.80x = 589,945,439,185,589,829,632
  5. Step 5: Solve for x
    x = 589,945,439,185,589,829,632/19,831,715,998.80
  6. Step 6: Final answer
    x = 29,747,573,998.20

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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.