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Finding the Fourth Proportional to 669,192,200,998.70, 1,003,788,301,498.10 and 669,192,200,998.70

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Solution

The fourth proportional to 669,192,200,998.70, 1,003,788,301,498.10 and 669,192,200,998.70 is: 1,003,788,301,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,192,200,998.70 : 1,003,788,301,498.10 = 669,192,200,998.70 : x
  2. Step 2: Convert to fraction form
    669,192,200,998.70/1,003,788,301,498.10 = 669,192,200,998.70/x
  3. Step 3: Cross multiply
    669,192,200,998.70x = 1,003,788,301,498.10 × 669,192,200,998.70
  4. Step 4: Simplify right side
    669,192,200,998.70x = 671,727,302,816,260,203,479,040
  5. Step 5: Solve for x
    x = 671,727,302,816,260,203,479,040/669,192,200,998.70
  6. Step 6: Final answer
    x = 1,003,788,301,498.10

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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.