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Finding the Fourth Proportional to 40,945,566,506.06, 61,418,349,759.10 and 40,945,566,506.06

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Solution

The fourth proportional to 40,945,566,506.06, 61,418,349,759.10 and 40,945,566,506.06 is: 61,418,349,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,945,566,506.06 : 61,418,349,759.10 = 40,945,566,506.06 : x
  2. Step 2: Convert to fraction form
    40,945,566,506.06/61,418,349,759.10 = 40,945,566,506.06/x
  3. Step 3: Cross multiply
    40,945,566,506.06x = 61,418,349,759.10 × 40,945,566,506.06
  4. Step 4: Simplify right side
    40,945,566,506.06x = 2,514,809,124,753,682,989,056
  5. Step 5: Solve for x
    x = 2,514,809,124,753,682,989,056/40,945,566,506.06
  6. Step 6: Final answer
    x = 61,418,349,759.10

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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.