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Finding the Fourth Proportional to 497,593,122.40, 746,725,606.80 and 324,648,661.60

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Solution

The fourth proportional to 497,593,122.40, 746,725,606.80 and 324,648,661.60 is: 487,192,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,593,122.40 : 746,725,606.80 = 324,648,661.60 : x
  2. Step 2: Convert to fraction form
    497,593,122.40/746,725,606.80 = 324,648,661.60/x
  3. Step 3: Cross multiply
    497,593,122.40x = 746,725,606.80 × 324,648,661.60
  4. Step 4: Simplify right side
    497,593,122.40x = 242,423,468,830,067,872
  5. Step 5: Solve for x
    x = 242,423,468,830,067,872/497,593,122.40
  6. Step 6: Final answer
    x = 487,192,161.46

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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.