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Finding the Fourth Proportional to 12,774,858,850.65, 19,162,288,275.98 and 12,774,858,850.65

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Solution

The fourth proportional to 12,774,858,850.65, 19,162,288,275.98 and 12,774,858,850.65 is: 19,162,288,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774,858,850.65 : 19,162,288,275.98 = 12,774,858,850.65 : x
  2. Step 2: Convert to fraction form
    12,774,858,850.65/19,162,288,275.98 = 12,774,858,850.65/x
  3. Step 3: Cross multiply
    12,774,858,850.65x = 19,162,288,275.98 × 12,774,858,850.65
  4. Step 4: Simplify right side
    12,774,858,850.65x = 244,795,527,981,045,940,224
  5. Step 5: Solve for x
    x = 244,795,527,981,045,940,224/12,774,858,850.65
  6. Step 6: Final answer
    x = 19,162,288,275.98

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Double scale
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1.5x scale

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.