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Finding the Fourth Proportional to 667,777,608,037.75, 1,001,666,412,056.60 and 667,777,608,037.75

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Solution

The fourth proportional to 667,777,608,037.75, 1,001,666,412,056.60 and 667,777,608,037.75 is: 1,001,666,412,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,777,608,037.75 : 1,001,666,412,056.60 = 667,777,608,037.75 : x
  2. Step 2: Convert to fraction form
    667,777,608,037.75/1,001,666,412,056.60 = 667,777,608,037.75/x
  3. Step 3: Cross multiply
    667,777,608,037.75x = 1,001,666,412,056.60 × 667,777,608,037.75
  4. Step 4: Simplify right side
    667,777,608,037.75x = 668,890,400,694,911,593,611,264
  5. Step 5: Solve for x
    x = 668,890,400,694,911,593,611,264/667,777,608,037.75
  6. Step 6: Final answer
    x = 1,001,666,412,056.60

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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.