Finding the Fourth Proportional to 23,616,565,639,761, 35,386,164,016,830 and 12,577,677,571,875
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Solution
The fourth proportional to 23,616,565,639,761, 35,386,164,016,830 and 12,577,677,571,875 is: 18,845,913,851,243.49
Step by Step Solution
- Step 1: Write the proportion equation
23,616,565,639,761 : 35,386,164,016,830 = 12,577,677,571,875 : x - Step 2: Convert to fraction form
23,616,565,639,761/35,386,164,016,830 = 12,577,677,571,875/x - Step 3: Cross multiply
23,616,565,639,761x = 35,386,164,016,830 × 12,577,677,571,875 - Step 4: Simplify right side
23,616,565,639,761x = 445,075,761,509,172,884,029,833,216 - Step 5: Solve for x
x = 445,075,761,509,172,884,029,833,216/23,616,565,639,761 - Step 6: Final answer
x = 18,845,913,851,243.49
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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.