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Finding the Fourth Proportional to 996,382,827.66, 1,375,008,249.66 and 538,092,330.42

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Solution

The fourth proportional to 996,382,827.66, 1,375,008,249.66 and 538,092,330.42 is: 742,567,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,382,827.66 : 1,375,008,249.66 = 538,092,330.42 : x
  2. Step 2: Convert to fraction form
    996,382,827.66/1,375,008,249.66 = 538,092,330.42/x
  3. Step 3: Cross multiply
    996,382,827.66x = 1,375,008,249.66 × 538,092,330.42
  4. Step 4: Simplify right side
    996,382,827.66x = 739,881,393,406,274,560
  5. Step 5: Solve for x
    x = 739,881,393,406,274,560/996,382,827.66
  6. Step 6: Final answer
    x = 742,567,387.62

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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.