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Finding the Fourth Proportional to 351,407,401.82, 527,004,978.56 and 105,698,810.22

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Solution

The fourth proportional to 351,407,401.82, 527,004,978.56 and 105,698,810.22 is: 158,516,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,407,401.82 : 527,004,978.56 = 105,698,810.22 : x
  2. Step 2: Convert to fraction form
    351,407,401.82/527,004,978.56 = 105,698,810.22/x
  3. Step 3: Cross multiply
    351,407,401.82x = 527,004,978.56 × 105,698,810.22
  4. Step 4: Simplify right side
    351,407,401.82x = 55,703,799,213,998,160
  5. Step 5: Solve for x
    x = 55,703,799,213,998,160/351,407,401.82
  6. Step 6: Final answer
    x = 158,516,294.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.