Finding the Fourth Proportional to 5,695,378,348,104, 7,860,295,916,817.60 and 3,383,133,558,622.80
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Solution
The fourth proportional to 5,695,378,348,104, 7,860,295,916,817.60 and 3,383,133,558,622.80 is: 4,669,124,555,306.15
Step by Step Solution
- Step 1: Write the proportion equation
5,695,378,348,104 : 7,860,295,916,817.60 = 3,383,133,558,622.80 : x - Step 2: Convert to fraction form
5,695,378,348,104/7,860,295,916,817.60 = 3,383,133,558,622.80/x - Step 3: Cross multiply
5,695,378,348,104x = 7,860,295,916,817.60 × 3,383,133,558,622.80 - Step 4: Simplify right side
5,695,378,348,104x = 26,592,430,896,891,390,184,128,512 - Step 5: Solve for x
x = 26,592,430,896,891,390,184,128,512/5,695,378,348,104 - Step 6: Final answer
x = 4,669,124,555,306.15
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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.