Finding the Fourth Proportional to 31,488,754,186,417, 47,181,552,022,550 and 16,770,236,762,569
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Solution
The fourth proportional to 31,488,754,186,417, 47,181,552,022,550 and 16,770,236,762,569 is: 25,127,885,135,098.23
Step by Step Solution
- Step 1: Write the proportion equation
31,488,754,186,417 : 47,181,552,022,550 = 16,770,236,762,569 : x - Step 2: Convert to fraction form
31,488,754,186,417/47,181,552,022,550 = 16,770,236,762,569/x - Step 3: Cross multiply
31,488,754,186,417x = 47,181,552,022,550 × 16,770,236,762,569 - Step 4: Simplify right side
31,488,754,186,417x = 791,245,798,243,629,793,732,984,832 - Step 5: Solve for x
x = 791,245,798,243,629,793,732,984,832/31,488,754,186,417 - Step 6: Final answer
x = 25,127,885,135,098.23
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.