Finding the Fourth Proportional to 17,988,794,283,108, 24,824,536,110,688 and 10,289,974,325,700
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Solution
The fourth proportional to 17,988,794,283,108, 24,824,536,110,688 and 10,289,974,325,700 is: 14,200,164,569,465.41
Step by Step Solution
- Step 1: Write the proportion equation
17,988,794,283,108 : 24,824,536,110,688 = 10,289,974,325,700 : x - Step 2: Convert to fraction form
17,988,794,283,108/24,824,536,110,688 = 10,289,974,325,700/x - Step 3: Cross multiply
17,988,794,283,108x = 24,824,536,110,688 × 10,289,974,325,700 - Step 4: Simplify right side
17,988,794,283,108x = 255,443,839,226,392,067,467,902,976 - Step 5: Solve for x
x = 255,443,839,226,392,067,467,902,976/17,988,794,283,108 - Step 6: Final answer
x = 14,200,164,569,465.41
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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.