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Finding the Fourth Proportional to 345,461,881.10, 518,192,821.65 and 345,461,881.10

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Solution

The fourth proportional to 345,461,881.10, 518,192,821.65 and 345,461,881.10 is: 518,192,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,461,881.10 : 518,192,821.65 = 345,461,881.10 : x
  2. Step 2: Convert to fraction form
    345,461,881.10/518,192,821.65 = 345,461,881.10/x
  3. Step 3: Cross multiply
    345,461,881.10x = 518,192,821.65 × 345,461,881.10
  4. Step 4: Simplify right side
    345,461,881.10x = 179,015,866,939,725,824
  5. Step 5: Solve for x
    x = 179,015,866,939,725,824/345,461,881.10
  6. Step 6: Final answer
    x = 518,192,821.65

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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.