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Finding the Fourth Proportional to 143,111,809.20, 214,667,713.80 and 143,111,809.20

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Solution

The fourth proportional to 143,111,809.20, 214,667,713.80 and 143,111,809.20 is: 214,667,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,111,809.20 : 214,667,713.80 = 143,111,809.20 : x
  2. Step 2: Convert to fraction form
    143,111,809.20/214,667,713.80 = 143,111,809.20/x
  3. Step 3: Cross multiply
    143,111,809.20x = 214,667,713.80 × 143,111,809.20
  4. Step 4: Simplify right side
    143,111,809.20x = 30,721,484,898,745,808
  5. Step 5: Solve for x
    x = 30,721,484,898,745,808/143,111,809.20
  6. Step 6: Final answer
    x = 214,667,713.80

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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.