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Finding the Fourth Proportional to 796,969,813.08, 1,099,845,593.82 and 462,417,074.76

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Solution

The fourth proportional to 796,969,813.08, 1,099,845,593.82 and 462,417,074.76 is: 638,151,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,969,813.08 : 1,099,845,593.82 = 462,417,074.76 : x
  2. Step 2: Convert to fraction form
    796,969,813.08/1,099,845,593.82 = 462,417,074.76/x
  3. Step 3: Cross multiply
    796,969,813.08x = 1,099,845,593.82 × 462,417,074.76
  4. Step 4: Simplify right side
    796,969,813.08x = 508,587,382,181,919,488
  5. Step 5: Solve for x
    x = 508,587,382,181,919,488/796,969,813.08
  6. Step 6: Final answer
    x = 638,151,375.16

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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.