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Finding the Fourth Proportional to 664,851,183.80, 997,276,775.70 and 389,352,169.40

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Solution

The fourth proportional to 664,851,183.80, 997,276,775.70 and 389,352,169.40 is: 584,028,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,851,183.80 : 997,276,775.70 = 389,352,169.40 : x
  2. Step 2: Convert to fraction form
    664,851,183.80/997,276,775.70 = 389,352,169.40/x
  3. Step 3: Cross multiply
    664,851,183.80x = 997,276,775.70 × 389,352,169.40
  4. Step 4: Simplify right side
    664,851,183.80x = 388,291,876,111,032,192
  5. Step 5: Solve for x
    x = 388,291,876,111,032,192/664,851,183.80
  6. Step 6: Final answer
    x = 584,028,254.10

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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.