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Finding the Fourth Proportional to 2,458,019,851.65, 3,687,029,777.48 and 2,458,019,851.65

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Solution

The fourth proportional to 2,458,019,851.65, 3,687,029,777.48 and 2,458,019,851.65 is: 3,687,029,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,019,851.65 : 3,687,029,777.48 = 2,458,019,851.65 : x
  2. Step 2: Convert to fraction form
    2,458,019,851.65/3,687,029,777.48 = 2,458,019,851.65/x
  3. Step 3: Cross multiply
    2,458,019,851.65x = 3,687,029,777.48 × 2,458,019,851.65
  4. Step 4: Simplify right side
    2,458,019,851.65x = 9,062,792,386,658,232,320
  5. Step 5: Solve for x
    x = 9,062,792,386,658,232,320/2,458,019,851.65
  6. Step 6: Final answer
    x = 3,687,029,777.48

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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.