Finding the Fourth Proportional to 8,013,902,292,546.50, 11,058,578,237,586 and 4,497,522,239,244.20
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Solution
The fourth proportional to 8,013,902,292,546.50, 11,058,578,237,586 and 4,497,522,239,244.20 is: 6,206,240,074,105.12
Step by Step Solution
- Step 1: Write the proportion equation
8,013,902,292,546.50 : 11,058,578,237,586 = 4,497,522,239,244.20 : x - Step 2: Convert to fraction form
8,013,902,292,546.50/11,058,578,237,586 = 4,497,522,239,244.20/x - Step 3: Cross multiply
8,013,902,292,546.50x = 11,058,578,237,586 × 4,497,522,239,244.20 - Step 4: Simplify right side
8,013,902,292,546.50x = 49,736,201,557,964,964,019,306,496 - Step 5: Solve for x
x = 49,736,201,557,964,964,019,306,496/8,013,902,292,546.50 - Step 6: Final answer
x = 6,206,240,074,105.12
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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.