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Finding the Fourth Proportional to 873,758,462.38, 1,205,786,631.72 and 471,872,177.30

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Solution

The fourth proportional to 873,758,462.38, 1,205,786,631.72 and 471,872,177.30 is: 651,183,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,758,462.38 : 1,205,786,631.72 = 471,872,177.30 : x
  2. Step 2: Convert to fraction form
    873,758,462.38/1,205,786,631.72 = 471,872,177.30/x
  3. Step 3: Cross multiply
    873,758,462.38x = 1,205,786,631.72 × 471,872,177.30
  4. Step 4: Simplify right side
    873,758,462.38x = 568,977,163,268,949,696
  5. Step 5: Solve for x
    x = 568,977,163,268,949,696/873,758,462.38
  6. Step 6: Final answer
    x = 651,183,579.63

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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.