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Finding the Fourth Proportional to 693,542,339.22, 957,227,471.16 and 411,441,363.38

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Solution

The fourth proportional to 693,542,339.22, 957,227,471.16 and 411,441,363.38 is: 567,871,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,542,339.22 : 957,227,471.16 = 411,441,363.38 : x
  2. Step 2: Convert to fraction form
    693,542,339.22/957,227,471.16 = 411,441,363.38/x
  3. Step 3: Cross multiply
    693,542,339.22x = 957,227,471.16 × 411,441,363.38
  4. Step 4: Simplify right side
    693,542,339.22x = 393,842,975,798,860,032
  5. Step 5: Solve for x
    x = 393,842,975,798,860,032/693,542,339.22
  6. Step 6: Final answer
    x = 567,871,568.22

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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.