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Finding the Fourth Proportional to 1,540,233,610.30, 2,310,350,415.45 and 1,540,233,610.30

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Solution

The fourth proportional to 1,540,233,610.30, 2,310,350,415.45 and 1,540,233,610.30 is: 2,310,350,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,233,610.30 : 2,310,350,415.45 = 1,540,233,610.30 : x
  2. Step 2: Convert to fraction form
    1,540,233,610.30/2,310,350,415.45 = 1,540,233,610.30/x
  3. Step 3: Cross multiply
    1,540,233,610.30x = 2,310,350,415.45 × 1,540,233,610.30
  4. Step 4: Simplify right side
    1,540,233,610.30x = 3,558,479,361,446,658,048
  5. Step 5: Solve for x
    x = 3,558,479,361,446,658,048/1,540,233,610.30
  6. Step 6: Final answer
    x = 2,310,350,415.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.