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Finding the Fourth Proportional to 2,760,658,847,999.50, 4,140,988,271,999.10 and 2,760,658,847,999.50

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Solution

The fourth proportional to 2,760,658,847,999.50, 4,140,988,271,999.10 and 2,760,658,847,999.50 is: 4,140,988,271,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,658,847,999.50 : 4,140,988,271,999.10 = 2,760,658,847,999.50 : x
  2. Step 2: Convert to fraction form
    2,760,658,847,999.50/4,140,988,271,999.10 = 2,760,658,847,999.50/x
  3. Step 3: Cross multiply
    2,760,658,847,999.50x = 4,140,988,271,999.10 × 2,760,658,847,999.50
  4. Step 4: Simplify right side
    2,760,658,847,999.50x = 11,431,855,912,556,476,153,987,072
  5. Step 5: Solve for x
    x = 11,431,855,912,556,476,153,987,072/2,760,658,847,999.50
  6. Step 6: Final answer
    x = 4,140,988,271,999.10

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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.