Finding the Fourth Proportional to 51,590,568,845,942, 77,386,142,583,248 and 17,208,263,922,263
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Solution
The fourth proportional to 51,590,568,845,942, 77,386,142,583,248 and 17,208,263,922,263 is: 25,812,492,385,478.98
Step by Step Solution
- Step 1: Write the proportion equation
51,590,568,845,942 : 77,386,142,583,248 = 17,208,263,922,263 : x - Step 2: Convert to fraction form
51,590,568,845,942/77,386,142,583,248 = 17,208,263,922,263/x - Step 3: Cross multiply
51,590,568,845,942x = 77,386,142,583,248 × 17,208,263,922,263 - Step 4: Simplify right side
51,590,568,845,942x = 1,331,681,165,498,407,091,089,440,768 - Step 5: Solve for x
x = 1,331,681,165,498,407,091,089,440,768/51,590,568,845,942 - Step 6: Final answer
x = 25,812,492,385,478.98
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.