Finding the Fourth Proportional to 12,857,895,142,640, 17,731,976,513,118 and 9,384,011,748,264
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Solution
The fourth proportional to 12,857,895,142,640, 17,731,976,513,118 and 9,384,011,748,264 is: 12,941,237,587,731.31
Step by Step Solution
- Step 1: Write the proportion equation
12,857,895,142,640 : 17,731,976,513,118 = 9,384,011,748,264 : x - Step 2: Convert to fraction form
12,857,895,142,640/17,731,976,513,118 = 9,384,011,748,264/x - Step 3: Cross multiply
12,857,895,142,640x = 17,731,976,513,118 × 9,384,011,748,264 - Step 4: Simplify right side
12,857,895,142,640x = 166,397,075,919,040,629,534,883,840 - Step 5: Solve for x
x = 166,397,075,919,040,629,534,883,840/12,857,895,142,640 - Step 6: Final answer
x = 12,941,237,587,731.31
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.