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Finding the Fourth Proportional to 534,418,630,217.65, 801,627,945,326.48 and 534,418,630,217.65

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Solution

The fourth proportional to 534,418,630,217.65, 801,627,945,326.48 and 534,418,630,217.65 is: 801,627,945,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,418,630,217.65 : 801,627,945,326.48 = 534,418,630,217.65 : x
  2. Step 2: Convert to fraction form
    534,418,630,217.65/801,627,945,326.48 = 534,418,630,217.65/x
  3. Step 3: Cross multiply
    534,418,630,217.65x = 801,627,945,326.48 × 534,418,630,217.65
  4. Step 4: Simplify right side
    534,418,630,217.65x = 428,404,908,485,566,699,405,312
  5. Step 5: Solve for x
    x = 428,404,908,485,566,699,405,312/534,418,630,217.65
  6. Step 6: Final answer
    x = 801,627,945,326.48

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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.