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Finding the Fourth Proportional to 173,840,462,812.45, 260,760,694,218.68 and 173,840,462,812.45

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Solution

The fourth proportional to 173,840,462,812.45, 260,760,694,218.68 and 173,840,462,812.45 is: 260,760,694,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,462,812.45 : 260,760,694,218.68 = 173,840,462,812.45 : x
  2. Step 2: Convert to fraction form
    173,840,462,812.45/260,760,694,218.68 = 173,840,462,812.45/x
  3. Step 3: Cross multiply
    173,840,462,812.45x = 260,760,694,218.68 × 173,840,462,812.45
  4. Step 4: Simplify right side
    173,840,462,812.45x = 45,330,759,766,271,087,083,520
  5. Step 5: Solve for x
    x = 45,330,759,766,271,087,083,520/173,840,462,812.45
  6. Step 6: Final answer
    x = 260,760,694,218.68

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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.