Finding the Fourth Proportional to 787,185,115,383.23, 1,180,777,673,074.70 and 221,222,802,044.32
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Solution
The fourth proportional to 787,185,115,383.23, 1,180,777,673,074.70 and 221,222,802,044.32 is: 331,834,203,066.44
Step by Step Solution
- Step 1: Write the proportion equation
787,185,115,383.23 : 1,180,777,673,074.70 = 221,222,802,044.32 : x - Step 2: Convert to fraction form
787,185,115,383.23/1,180,777,673,074.70 = 221,222,802,044.32/x - Step 3: Cross multiply
787,185,115,383.23x = 1,180,777,673,074.70 × 221,222,802,044.32 - Step 4: Simplify right side
787,185,115,383.23x = 261,214,945,428,957,149,790,208 - Step 5: Solve for x
x = 261,214,945,428,957,149,790,208/787,185,115,383.23 - Step 6: Final answer
x = 331,834,203,066.44
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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.