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Finding the Fourth Proportional to 542,388,657.96, 748,504,864.26 and 294,870,957.48

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Solution

The fourth proportional to 542,388,657.96, 748,504,864.26 and 294,870,957.48 is: 406,926,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,388,657.96 : 748,504,864.26 = 294,870,957.48 : x
  2. Step 2: Convert to fraction form
    542,388,657.96/748,504,864.26 = 294,870,957.48/x
  3. Step 3: Cross multiply
    542,388,657.96x = 748,504,864.26 × 294,870,957.48
  4. Step 4: Simplify right side
    542,388,657.96x = 220,712,346,002,783,648
  5. Step 5: Solve for x
    x = 220,712,346,002,783,648/542,388,657.96
  6. Step 6: Final answer
    x = 406,926,551.22

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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.