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Finding the Fourth Proportional to 722,969,801.94, 997,719,371.74 and 409,693,599.30

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Solution

The fourth proportional to 722,969,801.94, 997,719,371.74 and 409,693,599.30 is: 565,389,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,969,801.94 : 997,719,371.74 = 409,693,599.30 : x
  2. Step 2: Convert to fraction form
    722,969,801.94/997,719,371.74 = 409,693,599.30/x
  3. Step 3: Cross multiply
    722,969,801.94x = 997,719,371.74 × 409,693,599.30
  4. Step 4: Simplify right side
    722,969,801.94x = 408,759,240,499,495,296
  5. Step 5: Solve for x
    x = 408,759,240,499,495,296/722,969,801.94
  6. Step 6: Final answer
    x = 565,389,092.88

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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.