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Finding the Fourth Proportional to 984,993,274.16, 1,359,289,997 and 538,959,566.24

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Solution

The fourth proportional to 984,993,274.16, 1,359,289,997 and 538,959,566.24 is: 743,763,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,993,274.16 : 1,359,289,997 = 538,959,566.24 : x
  2. Step 2: Convert to fraction form
    984,993,274.16/1,359,289,997 = 538,959,566.24/x
  3. Step 3: Cross multiply
    984,993,274.16x = 1,359,289,997 × 538,959,566.24
  4. Step 4: Simplify right side
    984,993,274.16x = 732,602,347,177,490,944
  5. Step 5: Solve for x
    x = 732,602,347,177,490,944/984,993,274.16
  6. Step 6: Final answer
    x = 743,763,806.71

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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.