Finding the Fourth Proportional to 51,590,568,845,944, 77,386,142,583,252 and 17,208,263,922,265
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Solution
The fourth proportional to 51,590,568,845,944, 77,386,142,583,252 and 17,208,263,922,265 is: 25,812,492,385,482.31
Step by Step Solution
- Step 1: Write the proportion equation
51,590,568,845,944 : 77,386,142,583,252 = 17,208,263,922,265 : x - Step 2: Convert to fraction form
51,590,568,845,944/77,386,142,583,252 = 17,208,263,922,265/x - Step 3: Cross multiply
51,590,568,845,944x = 77,386,142,583,252 × 17,208,263,922,265 - Step 4: Simplify right side
51,590,568,845,944x = 1,331,681,165,498,630,566,827,786,240 - Step 5: Solve for x
x = 1,331,681,165,498,630,566,827,786,240/51,590,568,845,944 - Step 6: Final answer
x = 25,812,492,385,482.31
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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.