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Finding the Fourth Proportional to 165,014,766,000.55, 247,522,149,000.82 and 165,014,766,000.55

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Solution

The fourth proportional to 165,014,766,000.55, 247,522,149,000.82 and 165,014,766,000.55 is: 247,522,149,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,014,766,000.55 : 247,522,149,000.82 = 165,014,766,000.55 : x
  2. Step 2: Convert to fraction form
    165,014,766,000.55/247,522,149,000.82 = 165,014,766,000.55/x
  3. Step 3: Cross multiply
    165,014,766,000.55x = 247,522,149,000.82 × 165,014,766,000.55
  4. Step 4: Simplify right side
    165,014,766,000.55x = 40,844,809,497,323,583,307,776
  5. Step 5: Solve for x
    x = 40,844,809,497,323,583,307,776/165,014,766,000.55
  6. Step 6: Final answer
    x = 247,522,149,000.82

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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.