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Finding the Fourth Proportional to 40,945,565,514.05, 61,418,348,271.08 and 40,945,565,514.05

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Solution

The fourth proportional to 40,945,565,514.05, 61,418,348,271.08 and 40,945,565,514.05 is: 61,418,348,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,945,565,514.05 : 61,418,348,271.08 = 40,945,565,514.05 : x
  2. Step 2: Convert to fraction form
    40,945,565,514.05/61,418,348,271.08 = 40,945,565,514.05/x
  3. Step 3: Cross multiply
    40,945,565,514.05x = 61,418,348,271.08 × 40,945,565,514.05
  4. Step 4: Simplify right side
    40,945,565,514.05x = 2,514,809,002,898,041,077,760
  5. Step 5: Solve for x
    x = 2,514,809,002,898,041,077,760/40,945,565,514.05
  6. Step 6: Final answer
    x = 61,418,348,271.08

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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.