Finding the Fourth Proportional to 54,371,607,415,407, 75,046,778,825,260 and 35,412,629,802,189
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Solution
The fourth proportional to 54,371,607,415,407, 75,046,778,825,260 and 35,412,629,802,189 is: 48,878,521,763,780.29
Step by Step Solution
- Step 1: Write the proportion equation
54,371,607,415,407 : 75,046,778,825,260 = 35,412,629,802,189 : x - Step 2: Convert to fraction form
54,371,607,415,407/75,046,778,825,260 = 35,412,629,802,189/x - Step 3: Cross multiply
54,371,607,415,407x = 75,046,778,825,260 × 35,412,629,802,189 - Step 4: Simplify right side
54,371,607,415,407x = 2,657,603,796,385,688,871,191,445,504 - Step 5: Solve for x
x = 2,657,603,796,385,688,871,191,445,504/54,371,607,415,407 - Step 6: Final answer
x = 48,878,521,763,780.29
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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.