Finding the Fourth Proportional to 21,320,052,485,061, 29,421,672,429,381 and 12,195,525,128,128
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Solution
The fourth proportional to 21,320,052,485,061, 29,421,672,429,381 and 12,195,525,128,128 is: 16,829,824,676,814.82
Step by Step Solution
- Step 1: Write the proportion equation
21,320,052,485,061 : 29,421,672,429,381 = 12,195,525,128,128 : x - Step 2: Convert to fraction form
21,320,052,485,061/29,421,672,429,381 = 12,195,525,128,128/x - Step 3: Cross multiply
21,320,052,485,061x = 29,421,672,429,381 × 12,195,525,128,128 - Step 4: Simplify right side
21,320,052,485,061x = 358,812,745,424,066,793,917,382,656 - Step 5: Solve for x
x = 358,812,745,424,066,793,917,382,656/21,320,052,485,061 - Step 6: Final answer
x = 16,829,824,676,814.82
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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.