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Finding the Fourth Proportional to 252,783,137,727.60, 379,174,706,591.40 and 252,783,137,727.60

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Solution

The fourth proportional to 252,783,137,727.60, 379,174,706,591.40 and 252,783,137,727.60 is: 379,174,706,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,783,137,727.60 : 379,174,706,591.40 = 252,783,137,727.60 : x
  2. Step 2: Convert to fraction form
    252,783,137,727.60/379,174,706,591.40 = 252,783,137,727.60/x
  3. Step 3: Cross multiply
    252,783,137,727.60x = 379,174,706,591.40 × 252,783,137,727.60
  4. Step 4: Simplify right side
    252,783,137,727.60x = 95,848,972,079,116,194,938,880
  5. Step 5: Solve for x
    x = 95,848,972,079,116,194,938,880/252,783,137,727.60
  6. Step 6: Final answer
    x = 379,174,706,591.40

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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.