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Finding the Fourth Proportional to 3,124,474,510,672.20, 4,686,711,766,009.20 and 3,124,474,510,672.20

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Solution

The fourth proportional to 3,124,474,510,672.20, 4,686,711,766,009.20 and 3,124,474,510,672.20 is: 4,686,711,766,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124,474,510,672.20 : 4,686,711,766,009.20 = 3,124,474,510,672.20 : x
  2. Step 2: Convert to fraction form
    3,124,474,510,672.20/4,686,711,766,009.20 = 3,124,474,510,672.20/x
  3. Step 3: Cross multiply
    3,124,474,510,672.20x = 4,686,711,766,009.20 × 3,124,474,510,672.20
  4. Step 4: Simplify right side
    3,124,474,510,672.20x = 14,643,511,451,763,239,777,468,416
  5. Step 5: Solve for x
    x = 14,643,511,451,763,239,777,468,416/3,124,474,510,672.20
  6. Step 6: Final answer
    x = 4,686,711,766,009.20

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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.