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Finding the Fourth Proportional to 550,967,247.96, 760,388,507.34 and 411,495,871.92

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Solution

The fourth proportional to 550,967,247.96, 760,388,507.34 and 411,495,871.92 is: 567,904,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,967,247.96 : 760,388,507.34 = 411,495,871.92 : x
  2. Step 2: Convert to fraction form
    550,967,247.96/760,388,507.34 = 411,495,871.92/x
  3. Step 3: Cross multiply
    550,967,247.96x = 760,388,507.34 × 411,495,871.92
  4. Step 4: Simplify right side
    550,967,247.96x = 312,896,731,825,820,672
  5. Step 5: Solve for x
    x = 312,896,731,825,820,672/550,967,247.96
  6. Step 6: Final answer
    x = 567,904,413.53

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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.