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Finding the Fourth Proportional to 576,775,913.98, 797,006,575.26 and 419,870,615.92

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Solution

The fourth proportional to 576,775,913.98, 797,006,575.26 and 419,870,615.92 is: 580,190,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,775,913.98 : 797,006,575.26 = 419,870,615.92 : x
  2. Step 2: Convert to fraction form
    576,775,913.98/797,006,575.26 = 419,870,615.92/x
  3. Step 3: Cross multiply
    576,775,913.98x = 797,006,575.26 × 419,870,615.92
  4. Step 4: Simplify right side
    576,775,913.98x = 334,639,641,646,706,048
  5. Step 5: Solve for x
    x = 334,639,641,646,706,048/576,775,913.98
  6. Step 6: Final answer
    x = 580,190,041.81

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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.