Finding the Fourth Proportional to 54,371,607,415,409, 75,046,778,825,262 and 35,412,629,802,191
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Solution
The fourth proportional to 54,371,607,415,409, 75,046,778,825,262 and 35,412,629,802,191 is: 48,878,521,763,782.55
Step by Step Solution
- Step 1: Write the proportion equation
54,371,607,415,409 : 75,046,778,825,262 = 35,412,629,802,191 : x - Step 2: Convert to fraction form
54,371,607,415,409/75,046,778,825,262 = 35,412,629,802,191/x - Step 3: Cross multiply
54,371,607,415,409x = 75,046,778,825,262 × 35,412,629,802,191 - Step 4: Simplify right side
54,371,607,415,409x = 2,657,603,796,385,909,323,272,814,592 - Step 5: Solve for x
x = 2,657,603,796,385,909,323,272,814,592/54,371,607,415,409 - Step 6: Final answer
x = 48,878,521,763,782.55
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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.