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Finding the Fourth Proportional to 510,167,436,556.73, 765,251,154,835.09 and 510,167,436,556.73

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Solution

The fourth proportional to 510,167,436,556.73, 765,251,154,835.09 and 510,167,436,556.73 is: 765,251,154,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,167,436,556.73 : 765,251,154,835.09 = 510,167,436,556.73 : x
  2. Step 2: Convert to fraction form
    510,167,436,556.73/765,251,154,835.09 = 510,167,436,556.73/x
  3. Step 3: Cross multiply
    510,167,436,556.73x = 765,251,154,835.09 × 510,167,436,556.73
  4. Step 4: Simplify right side
    510,167,436,556.73x = 390,406,219,984,295,134,494,720
  5. Step 5: Solve for x
    x = 390,406,219,984,295,134,494,720/510,167,436,556.73
  6. Step 6: Final answer
    x = 765,251,154,835.09

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Double scale
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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.