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Finding the Fourth Proportional to 469,494,195.84, 704,014,778.88 and 196,791,742.08

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Solution

The fourth proportional to 469,494,195.84, 704,014,778.88 and 196,791,742.08 is: 295,092,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,494,195.84 : 704,014,778.88 = 196,791,742.08 : x
  2. Step 2: Convert to fraction form
    469,494,195.84/704,014,778.88 = 196,791,742.08/x
  3. Step 3: Cross multiply
    469,494,195.84x = 704,014,778.88 × 196,791,742.08
  4. Step 4: Simplify right side
    469,494,195.84x = 138,544,294,785,861,200
  5. Step 5: Solve for x
    x = 138,544,294,785,861,200/469,494,195.84
  6. Step 6: Final answer
    x = 295,092,667.84

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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.