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Finding the Fourth Proportional to 666,137,218.64, 919,365,564.72 and 383,825,610.80

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Solution

The fourth proportional to 666,137,218.64, 919,365,564.72 and 383,825,610.80 is: 529,734,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,137,218.64 : 919,365,564.72 = 383,825,610.80 : x
  2. Step 2: Convert to fraction form
    666,137,218.64/919,365,564.72 = 383,825,610.80/x
  3. Step 3: Cross multiply
    666,137,218.64x = 919,365,564.72 × 383,825,610.80
  4. Step 4: Simplify right side
    666,137,218.64x = 352,876,049,427,140,928
  5. Step 5: Solve for x
    x = 352,876,049,427,140,928/666,137,218.64
  6. Step 6: Final answer
    x = 529,734,774.69

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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.