Finding the Fourth Proportional to 41,007,863,544,832, 56,590,893,574,192 and 22,257,462,471,312
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Solution
The fourth proportional to 41,007,863,544,832, 56,590,893,574,192 and 22,257,462,471,312 is: 30,715,320,942,495.84
Step by Step Solution
- Step 1: Write the proportion equation
41,007,863,544,832 : 56,590,893,574,192 = 22,257,462,471,312 : x - Step 2: Convert to fraction form
41,007,863,544,832/56,590,893,574,192 = 22,257,462,471,312/x - Step 3: Cross multiply
41,007,863,544,832x = 56,590,893,574,192 × 22,257,462,471,312 - Step 4: Simplify right side
41,007,863,544,832x = 1,259,569,689,945,589,929,302,032,384 - Step 5: Solve for x
x = 1,259,569,689,945,589,929,302,032,384/41,007,863,544,832 - Step 6: Final answer
x = 30,715,320,942,495.84
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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.