Finding the Fourth Proportional to 30,172,379,410,108, 41,645,630,722,708 and 19,651,493,731,604
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Solution
The fourth proportional to 30,172,379,410,108, 41,645,630,722,708 and 19,651,493,731,604 is: 27,124,107,117,048.27
Step by Step Solution
- Step 1: Write the proportion equation
30,172,379,410,108 : 41,645,630,722,708 = 19,651,493,731,604 : x - Step 2: Convert to fraction form
30,172,379,410,108/41,645,630,722,708 = 19,651,493,731,604/x - Step 3: Cross multiply
30,172,379,410,108x = 41,645,630,722,708 × 19,651,493,731,604 - Step 4: Simplify right side
30,172,379,410,108x = 818,398,851,095,991,204,802,723,840 - Step 5: Solve for x
x = 818,398,851,095,991,204,802,723,840/30,172,379,410,108 - Step 6: Final answer
x = 27,124,107,117,048.27
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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.