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Finding the Fourth Proportional to 40,945,565,536.55, 61,418,348,304.83 and 40,945,565,536.55

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Solution

The fourth proportional to 40,945,565,536.55, 61,418,348,304.83 and 40,945,565,536.55 is: 61,418,348,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,945,565,536.55 : 61,418,348,304.83 = 40,945,565,536.55 : x
  2. Step 2: Convert to fraction form
    40,945,565,536.55/61,418,348,304.83 = 40,945,565,536.55/x
  3. Step 3: Cross multiply
    40,945,565,536.55x = 61,418,348,304.83 × 40,945,565,536.55
  4. Step 4: Simplify right side
    40,945,565,536.55x = 2,514,809,005,662,071,685,120
  5. Step 5: Solve for x
    x = 2,514,809,005,662,071,685,120/40,945,565,536.55
  6. Step 6: Final answer
    x = 61,418,348,304.83

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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.