Finding the Fourth Proportional to 4,529,972,550,133, 6,252,851,889,364 and 3,605,721,999,200
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Solution
The fourth proportional to 4,529,972,550,133, 6,252,851,889,364 and 3,605,721,999,200 is: 4,977,082,171,183.82
Step by Step Solution
- Step 1: Write the proportion equation
4,529,972,550,133 : 6,252,851,889,364 = 3,605,721,999,200 : x - Step 2: Convert to fraction form
4,529,972,550,133/6,252,851,889,364 = 3,605,721,999,200/x - Step 3: Cross multiply
4,529,972,550,133x = 6,252,851,889,364 × 3,605,721,999,200 - Step 4: Simplify right side
4,529,972,550,133x = 22,546,045,615,219,060,835,876,864 - Step 5: Solve for x
x = 22,546,045,615,219,060,835,876,864/4,529,972,550,133 - Step 6: Final answer
x = 4,977,082,171,183.82
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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.