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Finding the Fourth Proportional to 722,309,713.12, 996,848,880.96 and 409,099,645.36

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Solution

The fourth proportional to 722,309,713.12, 996,848,880.96 and 409,099,645.36 is: 564,592,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,309,713.12 : 996,848,880.96 = 409,099,645.36 : x
  2. Step 2: Convert to fraction form
    722,309,713.12/996,848,880.96 = 409,099,645.36/x
  3. Step 3: Cross multiply
    722,309,713.12x = 996,848,880.96 × 409,099,645.36
  4. Step 4: Simplify right side
    722,309,713.12x = 407,810,523,678,248,896
  5. Step 5: Solve for x
    x = 407,810,523,678,248,896/722,309,713.12
  6. Step 6: Final answer
    x = 564,592,329.68

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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.