Finding the Fourth Proportional to 269,029,014,348.18, 371,260,071,278.78 and 147,093,831,377.95
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Solution
The fourth proportional to 269,029,014,348.18, 371,260,071,278.78 and 147,093,831,377.95 is: 202,989,504,512.59
Step by Step Solution
- Step 1: Write the proportion equation
269,029,014,348.18 : 371,260,071,278.78 = 147,093,831,377.95 : x - Step 2: Convert to fraction form
269,029,014,348.18/371,260,071,278.78 = 147,093,831,377.95/x - Step 3: Cross multiply
269,029,014,348.18x = 371,260,071,278.78 × 147,093,831,377.95 - Step 4: Simplify right side
269,029,014,348.18x = 54,610,066,322,046,568,103,936 - Step 5: Solve for x
x = 54,610,066,322,046,568,103,936/269,029,014,348.18 - Step 6: Final answer
x = 202,989,504,512.59
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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.