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Finding the Fourth Proportional to 765,251,186,019.90, 1,147,876,779,029.90 and 765,251,186,019.90

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Solution

The fourth proportional to 765,251,186,019.90, 1,147,876,779,029.90 and 765,251,186,019.90 is: 1,147,876,779,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,251,186,019.90 : 1,147,876,779,029.90 = 765,251,186,019.90 : x
  2. Step 2: Convert to fraction form
    765,251,186,019.90/1,147,876,779,029.90 = 765,251,186,019.90/x
  3. Step 3: Cross multiply
    765,251,186,019.90x = 1,147,876,779,029.90 × 765,251,186,019.90
  4. Step 4: Simplify right side
    765,251,186,019.90x = 878,414,066,557,333,618,556,928
  5. Step 5: Solve for x
    x = 878,414,066,557,333,618,556,928/765,251,186,019.90
  6. Step 6: Final answer
    x = 1,147,876,779,029.90

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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.