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Finding the Fourth Proportional to 167,942,737,829.80, 251,914,106,744.70 and 167,942,737,829.80

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Solution

The fourth proportional to 167,942,737,829.80, 251,914,106,744.70 and 167,942,737,829.80 is: 251,914,106,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,942,737,829.80 : 251,914,106,744.70 = 167,942,737,829.80 : x
  2. Step 2: Convert to fraction form
    167,942,737,829.80/251,914,106,744.70 = 167,942,737,829.80/x
  3. Step 3: Cross multiply
    167,942,737,829.80x = 251,914,106,744.70 × 167,942,737,829.80
  4. Step 4: Simplify right side
    167,942,737,829.80x = 42,307,144,784,653,399,883,776
  5. Step 5: Solve for x
    x = 42,307,144,784,653,399,883,776/167,942,737,829.80
  6. Step 6: Final answer
    x = 251,914,106,744.70

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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.