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Finding the Fourth Proportional to 345,461,892.85, 518,192,839.28 and 345,461,892.85

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Solution

The fourth proportional to 345,461,892.85, 518,192,839.28 and 345,461,892.85 is: 518,192,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,461,892.85 : 518,192,839.28 = 345,461,892.85 : x
  2. Step 2: Convert to fraction form
    345,461,892.85/518,192,839.28 = 345,461,892.85/x
  3. Step 3: Cross multiply
    345,461,892.85x = 518,192,839.28 × 345,461,892.85
  4. Step 4: Simplify right side
    345,461,892.85x = 179,015,879,117,257,312
  5. Step 5: Solve for x
    x = 179,015,879,117,257,312/345,461,892.85
  6. Step 6: Final answer
    x = 518,192,839.28

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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.