Finding the Fourth Proportional to 8,013,902,292,513.40, 11,058,578,237,543 and 4,497,522,239,212.10
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Solution
The fourth proportional to 8,013,902,292,513.40, 11,058,578,237,543 and 4,497,522,239,212.10 is: 6,206,240,074,062.32
Step by Step Solution
- Step 1: Write the proportion equation
8,013,902,292,513.40 : 11,058,578,237,543 = 4,497,522,239,212.10 : x - Step 2: Convert to fraction form
8,013,902,292,513.40/11,058,578,237,543 = 4,497,522,239,212.10/x - Step 3: Cross multiply
8,013,902,292,513.40x = 11,058,578,237,543 × 4,497,522,239,212.10 - Step 4: Simplify right side
8,013,902,292,513.40x = 49,736,201,557,416,591,184,887,808 - Step 5: Solve for x
x = 49,736,201,557,416,591,184,887,808/8,013,902,292,513.40 - Step 6: Final answer
x = 6,206,240,074,062.32
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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.