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Finding the Fourth Proportional to 18,578,300,427.85, 27,867,450,641.78 and 18,578,300,427.85

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Solution

The fourth proportional to 18,578,300,427.85, 27,867,450,641.78 and 18,578,300,427.85 is: 27,867,450,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578,300,427.85 : 27,867,450,641.78 = 18,578,300,427.85 : x
  2. Step 2: Convert to fraction form
    18,578,300,427.85/27,867,450,641.78 = 18,578,300,427.85/x
  3. Step 3: Cross multiply
    18,578,300,427.85x = 27,867,450,641.78 × 18,578,300,427.85
  4. Step 4: Simplify right side
    18,578,300,427.85x = 517,729,870,181,177,229,312
  5. Step 5: Solve for x
    x = 517,729,870,181,177,229,312/18,578,300,427.85
  6. Step 6: Final answer
    x = 27,867,450,641.78

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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.