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Finding the Fourth Proportional to 552,201,834.96, 827,673,401.76 and 345,035,898

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Solution

The fourth proportional to 552,201,834.96, 827,673,401.76 and 345,035,898 is: 517,160,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,201,834.96 : 827,673,401.76 = 345,035,898 : x
  2. Step 2: Convert to fraction form
    552,201,834.96/827,673,401.76 = 345,035,898/x
  3. Step 3: Cross multiply
    552,201,834.96x = 827,673,401.76 × 345,035,898
  4. Step 4: Simplify right side
    552,201,834.96x = 285,577,035,426,976,384
  5. Step 5: Solve for x
    x = 285,577,035,426,976,384/552,201,834.96
  6. Step 6: Final answer
    x = 517,160,605.68

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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.