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Finding the Fourth Proportional to 501,253,135,850.40, 751,879,703,775.60 and 501,253,135,850.40

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Solution

The fourth proportional to 501,253,135,850.40, 751,879,703,775.60 and 501,253,135,850.40 is: 751,879,703,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,253,135,850.40 : 751,879,703,775.60 = 501,253,135,850.40 : x
  2. Step 2: Convert to fraction form
    501,253,135,850.40/751,879,703,775.60 = 501,253,135,850.40/x
  3. Step 3: Cross multiply
    501,253,135,850.40x = 751,879,703,775.60 × 501,253,135,850.40
  4. Step 4: Simplify right side
    501,253,135,850.40x = 376,882,059,299,789,333,331,968
  5. Step 5: Solve for x
    x = 376,882,059,299,789,333,331,968/501,253,135,850.40
  6. Step 6: Final answer
    x = 751,879,703,775.60

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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.