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Finding the Fourth Proportional to 2,011,036,896,269.90, 3,016,555,344,405 and 2,011,036,896,269.90

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Solution

The fourth proportional to 2,011,036,896,269.90, 3,016,555,344,405 and 2,011,036,896,269.90 is: 3,016,555,344,405

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,036,896,269.90 : 3,016,555,344,405 = 2,011,036,896,269.90 : x
  2. Step 2: Convert to fraction form
    2,011,036,896,269.90/3,016,555,344,405 = 2,011,036,896,269.90/x
  3. Step 3: Cross multiply
    2,011,036,896,269.90x = 3,016,555,344,405 × 2,011,036,896,269.90
  4. Step 4: Simplify right side
    2,011,036,896,269.90x = 6,066,404,097,238,610,057,625,600
  5. Step 5: Solve for x
    x = 6,066,404,097,238,610,057,625,600/2,011,036,896,269.90
  6. Step 6: Final answer
    x = 3,016,555,344,405

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.