Finding the Fourth Proportional to 53,145,975,976,780, 80,117,303,963,754 and 49,603,250,478,548
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Solution
The fourth proportional to 53,145,975,976,780, 80,117,303,963,754 and 49,603,250,478,548 is: 74,776,662,261,623.91
Step by Step Solution
- Step 1: Write the proportion equation
53,145,975,976,780 : 80,117,303,963,754 = 49,603,250,478,548 : x - Step 2: Convert to fraction form
53,145,975,976,780/80,117,303,963,754 = 49,603,250,478,548/x - Step 3: Cross multiply
53,145,975,976,780x = 80,117,303,963,754 × 49,603,250,478,548 - Step 4: Simplify right side
53,145,975,976,780x = 3,974,078,696,180,055,980,365,578,240 - Step 5: Solve for x
x = 3,974,078,696,180,055,980,365,578,240/53,145,975,976,780 - Step 6: Final answer
x = 74,776,662,261,623.91
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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.