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Finding the Fourth Proportional to 148,965,371,028.90, 223,448,056,543.34 and 148,965,371,028.90

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Solution

The fourth proportional to 148,965,371,028.90, 223,448,056,543.34 and 148,965,371,028.90 is: 223,448,056,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,965,371,028.90 : 223,448,056,543.34 = 148,965,371,028.90 : x
  2. Step 2: Convert to fraction form
    148,965,371,028.90/223,448,056,543.34 = 148,965,371,028.90/x
  3. Step 3: Cross multiply
    148,965,371,028.90x = 223,448,056,543.34 × 148,965,371,028.90
  4. Step 4: Simplify right side
    148,965,371,028.90x = 33,286,022,648,665,267,503,104
  5. Step 5: Solve for x
    x = 33,286,022,648,665,267,503,104/148,965,371,028.90
  6. Step 6: Final answer
    x = 223,448,056,543.34

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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.