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Finding the Fourth Proportional to 586,643,632.38, 809,367,990.68 and 363,543,911.78

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Solution

The fourth proportional to 586,643,632.38, 809,367,990.68 and 363,543,911.78 is: 501,566,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,643,632.38 : 809,367,990.68 = 363,543,911.78 : x
  2. Step 2: Convert to fraction form
    586,643,632.38/809,367,990.68 = 363,543,911.78/x
  3. Step 3: Cross multiply
    586,643,632.38x = 809,367,990.68 × 363,543,911.78
  4. Step 4: Simplify right side
    586,643,632.38x = 294,240,805,398,187,776
  5. Step 5: Solve for x
    x = 294,240,805,398,187,776/586,643,632.38
  6. Step 6: Final answer
    x = 501,566,520.38

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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.