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Finding the Fourth Proportional to 873,982,357.50, 1,310,121,456.75 and 349,194,998.82

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Solution

The fourth proportional to 873,982,357.50, 1,310,121,456.75 and 349,194,998.82 is: 523,452,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,982,357.50 : 1,310,121,456.75 = 349,194,998.82 : x
  2. Step 2: Convert to fraction form
    873,982,357.50/1,310,121,456.75 = 349,194,998.82/x
  3. Step 3: Cross multiply
    873,982,357.50x = 1,310,121,456.75 × 349,194,998.82
  4. Step 4: Simplify right side
    873,982,357.50x = 457,487,860,543,872,896
  5. Step 5: Solve for x
    x = 457,487,860,543,872,896/873,982,357.50
  6. Step 6: Final answer
    x = 523,452,054.40

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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.