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Finding the Fourth Proportional to 144,800,998.65, 217,201,497.98 and 144,800,998.65

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Solution

The fourth proportional to 144,800,998.65, 217,201,497.98 and 144,800,998.65 is: 217,201,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,800,998.65 : 217,201,497.98 = 144,800,998.65 : x
  2. Step 2: Convert to fraction form
    144,800,998.65/217,201,497.98 = 144,800,998.65/x
  3. Step 3: Cross multiply
    144,800,998.65x = 217,201,497.98 × 144,800,998.65
  4. Step 4: Simplify right side
    144,800,998.65x = 31,450,993,815,055,952
  5. Step 5: Solve for x
    x = 31,450,993,815,055,952/144,800,998.65
  6. Step 6: Final answer
    x = 217,201,497.98

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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.