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Finding the Fourth Proportional to 2,011,036,896,411, 3,016,555,344,616.20 and 2,011,036,896,411

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Solution

The fourth proportional to 2,011,036,896,411, 3,016,555,344,616.20 and 2,011,036,896,411 is: 3,016,555,344,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,036,896,411 : 3,016,555,344,616.20 = 2,011,036,896,411 : x
  2. Step 2: Convert to fraction form
    2,011,036,896,411/3,016,555,344,616.20 = 2,011,036,896,411/x
  3. Step 3: Cross multiply
    2,011,036,896,411x = 3,016,555,344,616.20 × 2,011,036,896,411
  4. Step 4: Simplify right side
    2,011,036,896,411x = 6,066,404,098,088,978,148,753,408
  5. Step 5: Solve for x
    x = 6,066,404,098,088,978,148,753,408/2,011,036,896,411
  6. Step 6: Final answer
    x = 3,016,555,344,616.20

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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.