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Finding the Fourth Proportional to 510,167,435,530.73, 765,251,153,296.09 and 510,167,435,530.73

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Solution

The fourth proportional to 510,167,435,530.73, 765,251,153,296.09 and 510,167,435,530.73 is: 765,251,153,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,167,435,530.73 : 765,251,153,296.09 = 510,167,435,530.73 : x
  2. Step 2: Convert to fraction form
    510,167,435,530.73/765,251,153,296.09 = 510,167,435,530.73/x
  3. Step 3: Cross multiply
    510,167,435,530.73x = 765,251,153,296.09 × 510,167,435,530.73
  4. Step 4: Simplify right side
    510,167,435,530.73x = 390,406,218,413,999,726,264,320
  5. Step 5: Solve for x
    x = 390,406,218,413,999,726,264,320/510,167,435,530.73
  6. Step 6: Final answer
    x = 765,251,153,296.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.