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Finding the Fourth Proportional to 144,800,999.65, 217,201,499.48 and 144,800,999.65

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Solution

The fourth proportional to 144,800,999.65, 217,201,499.48 and 144,800,999.65 is: 217,201,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,800,999.65 : 217,201,499.48 = 144,800,999.65 : x
  2. Step 2: Convert to fraction form
    144,800,999.65/217,201,499.48 = 144,800,999.65/x
  3. Step 3: Cross multiply
    144,800,999.65x = 217,201,499.48 × 144,800,999.65
  4. Step 4: Simplify right side
    144,800,999.65x = 31,450,994,250,182,956
  5. Step 5: Solve for x
    x = 31,450,994,250,182,956/144,800,999.65
  6. Step 6: Final answer
    x = 217,201,499.48

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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.