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Finding the Fourth Proportional to 978,515,171.18, 1,350,333,472.10 and 532,463,321.42

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Solution

The fourth proportional to 978,515,171.18, 1,350,333,472.10 and 532,463,321.42 is: 734,789,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,515,171.18 : 1,350,333,472.10 = 532,463,321.42 : x
  2. Step 2: Convert to fraction form
    978,515,171.18/1,350,333,472.10 = 532,463,321.42/x
  3. Step 3: Cross multiply
    978,515,171.18x = 1,350,333,472.10 × 532,463,321.42
  4. Step 4: Simplify right side
    978,515,171.18x = 719,003,045,578,966,912
  5. Step 5: Solve for x
    x = 719,003,045,578,966,912/978,515,171.18
  6. Step 6: Final answer
    x = 734,789,880.38

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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.