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Finding the Fourth Proportional to 214,953,983.07, 321,958,360.86 and 177,643,019.49

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Solution

The fourth proportional to 214,953,983.07, 321,958,360.86 and 177,643,019.49 is: 266,073,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,953,983.07 : 321,958,360.86 = 177,643,019.49 : x
  2. Step 2: Convert to fraction form
    214,953,983.07/321,958,360.86 = 177,643,019.49/x
  3. Step 3: Cross multiply
    214,953,983.07x = 321,958,360.86 × 177,643,019.49
  4. Step 4: Simplify right side
    214,953,983.07x = 57,193,655,371,611,648
  5. Step 5: Solve for x
    x = 57,193,655,371,611,648/214,953,983.07
  6. Step 6: Final answer
    x = 266,073,950.14

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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.