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Finding the Fourth Proportional to 194,791,609, 268,820,870.34 and 107,871,481

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Solution

The fourth proportional to 194,791,609, 268,820,870.34 and 107,871,481 is: 148,867,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,791,609 : 268,820,870.34 = 107,871,481 : x
  2. Step 2: Convert to fraction form
    194,791,609/268,820,870.34 = 107,871,481/x
  3. Step 3: Cross multiply
    194,791,609x = 268,820,870.34 × 107,871,481
  4. Step 4: Simplify right side
    194,791,609x = 28,998,105,407,284,772
  5. Step 5: Solve for x
    x = 28,998,105,407,284,772/194,791,609
  6. Step 6: Final answer
    x = 148,867,323.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.