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Finding the Fourth Proportional to 609,100,701.84, 913,996,600.56 and 328,978,150.56

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Solution

The fourth proportional to 609,100,701.84, 913,996,600.56 and 328,978,150.56 is: 493,653,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,100,701.84 : 913,996,600.56 = 328,978,150.56 : x
  2. Step 2: Convert to fraction form
    609,100,701.84/913,996,600.56 = 328,978,150.56/x
  3. Step 3: Cross multiply
    609,100,701.84x = 913,996,600.56 × 328,978,150.56
  4. Step 4: Simplify right side
    609,100,701.84x = 300,684,911,270,355,840
  5. Step 5: Solve for x
    x = 300,684,911,270,355,840/609,100,701.84
  6. Step 6: Final answer
    x = 493,653,857.83

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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.