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Finding the Fourth Proportional to 3,124,474,510,727.40, 4,686,711,766,091.40 and 3,124,474,510,727.40

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Solution

The fourth proportional to 3,124,474,510,727.40, 4,686,711,766,091.40 and 3,124,474,510,727.40 is: 4,686,711,766,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124,474,510,727.40 : 4,686,711,766,091.40 = 3,124,474,510,727.40 : x
  2. Step 2: Convert to fraction form
    3,124,474,510,727.40/4,686,711,766,091.40 = 3,124,474,510,727.40/x
  3. Step 3: Cross multiply
    3,124,474,510,727.40x = 4,686,711,766,091.40 × 3,124,474,510,727.40
  4. Step 4: Simplify right side
    3,124,474,510,727.40x = 14,643,511,452,278,777,586,909,184
  5. Step 5: Solve for x
    x = 14,643,511,452,278,777,586,909,184/3,124,474,510,727.40
  6. Step 6: Final answer
    x = 4,686,711,766,091.40

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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.