Finding the Fourth Proportional to 53,145,975,976,783, 80,117,303,963,760 and 49,603,250,478,551
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Solution
The fourth proportional to 53,145,975,976,783, 80,117,303,963,760 and 49,603,250,478,551 is: 74,776,662,261,629.81
Step by Step Solution
- Step 1: Write the proportion equation
53,145,975,976,783 : 80,117,303,963,760 = 49,603,250,478,551 : x - Step 2: Convert to fraction form
53,145,975,976,783/80,117,303,963,760 = 49,603,250,478,551/x - Step 3: Cross multiply
53,145,975,976,783x = 80,117,303,963,760 × 49,603,250,478,551 - Step 4: Simplify right side
53,145,975,976,783x = 3,974,078,696,180,594,191,307,374,592 - Step 5: Solve for x
x = 3,974,078,696,180,594,191,307,374,592/53,145,975,976,783 - Step 6: Final answer
x = 74,776,662,261,629.81
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.