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Finding the Fourth Proportional to 40,458,386,493.20, 60,687,579,739.80 and 40,458,386,493.20

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Solution

The fourth proportional to 40,458,386,493.20, 60,687,579,739.80 and 40,458,386,493.20 is: 60,687,579,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,458,386,493.20 : 60,687,579,739.80 = 40,458,386,493.20 : x
  2. Step 2: Convert to fraction form
    40,458,386,493.20/60,687,579,739.80 = 40,458,386,493.20/x
  3. Step 3: Cross multiply
    40,458,386,493.20x = 60,687,579,739.80 × 40,458,386,493.20
  4. Step 4: Simplify right side
    40,458,386,493.20x = 2,455,321,556,449,722,105,856
  5. Step 5: Solve for x
    x = 2,455,321,556,449,722,105,856/40,458,386,493.20
  6. Step 6: Final answer
    x = 60,687,579,739.80

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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.