Finding the Fourth Proportional to 21,968,584,901,763, 30,314,676,666,336 and 12,720,193,403,194
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Solution
The fourth proportional to 21,968,584,901,763, 30,314,676,666,336 and 12,720,193,403,194 is: 17,552,725,943,678.82
Step by Step Solution
- Step 1: Write the proportion equation
21,968,584,901,763 : 30,314,676,666,336 = 12,720,193,403,194 : x - Step 2: Convert to fraction form
21,968,584,901,763/30,314,676,666,336 = 12,720,193,403,194/x - Step 3: Cross multiply
21,968,584,901,763x = 30,314,676,666,336 × 12,720,193,403,194 - Step 4: Simplify right side
21,968,584,901,763x = 385,608,550,151,086,257,188,372,480 - Step 5: Solve for x
x = 385,608,550,151,086,257,188,372,480/21,968,584,901,763 - Step 6: Final answer
x = 17,552,725,943,678.82
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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.