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Finding the Fourth Proportional to 2,514,781,567,357, 3,772,172,351,035.50 and 2,514,781,567,357

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Solution

The fourth proportional to 2,514,781,567,357, 3,772,172,351,035.50 and 2,514,781,567,357 is: 3,772,172,351,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,781,567,357 : 3,772,172,351,035.50 = 2,514,781,567,357 : x
  2. Step 2: Convert to fraction form
    2,514,781,567,357/3,772,172,351,035.50 = 2,514,781,567,357/x
  3. Step 3: Cross multiply
    2,514,781,567,357x = 3,772,172,351,035.50 × 2,514,781,567,357
  4. Step 4: Simplify right side
    2,514,781,567,357x = 9,486,189,497,277,794,073,182,208
  5. Step 5: Solve for x
    x = 9,486,189,497,277,794,073,182,208/2,514,781,567,357
  6. Step 6: Final answer
    x = 3,772,172,351,035.50

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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.