Finding the Fourth Proportional to 4,470,511,146.16, 6,169,027,408.54 and 2,463,233,951.48
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Solution
The fourth proportional to 4,470,511,146.16, 6,169,027,408.54 and 2,463,233,951.48 is: 3,399,109,690.93
Step by Step Solution
- Step 1: Write the proportion equation
4,470,511,146.16 : 6,169,027,408.54 = 2,463,233,951.48 : x - Step 2: Convert to fraction form
4,470,511,146.16/6,169,027,408.54 = 2,463,233,951.48/x - Step 3: Cross multiply
4,470,511,146.16x = 6,169,027,408.54 × 2,463,233,951.48 - Step 4: Simplify right side
4,470,511,146.16x = 15,195,757,760,326,408,192 - Step 5: Solve for x
x = 15,195,757,760,326,408,192/4,470,511,146.16 - Step 6: Final answer
x = 3,399,109,690.93
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.