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Finding the Fourth Proportional to 923,691,825, 1,274,684,563.62 and 500,294,953.62

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Solution

The fourth proportional to 923,691,825, 1,274,684,563.62 and 500,294,953.62 is: 690,401,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,691,825 : 1,274,684,563.62 = 500,294,953.62 : x
  2. Step 2: Convert to fraction form
    923,691,825/1,274,684,563.62 = 500,294,953.62/x
  3. Step 3: Cross multiply
    923,691,825x = 1,274,684,563.62 × 500,294,953.62
  4. Step 4: Simplify right side
    923,691,825x = 637,718,254,636,397,824
  5. Step 5: Solve for x
    x = 637,718,254,636,397,824/923,691,825
  6. Step 6: Final answer
    x = 690,401,535.85

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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.