Finding the Fourth Proportional to 31,488,754,186,528, 47,181,552,022,712 and 16,770,236,762,678
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Solution
The fourth proportional to 31,488,754,186,528, 47,181,552,022,712 and 16,770,236,762,678 is: 25,127,885,135,259.25
Step by Step Solution
- Step 1: Write the proportion equation
31,488,754,186,528 : 47,181,552,022,712 = 16,770,236,762,678 : x - Step 2: Convert to fraction form
31,488,754,186,528/47,181,552,022,712 = 16,770,236,762,678/x - Step 3: Cross multiply
31,488,754,186,528x = 47,181,552,022,712 × 16,770,236,762,678 - Step 4: Simplify right side
31,488,754,186,528x = 791,245,798,251,489,377,726,234,624 - Step 5: Solve for x
x = 791,245,798,251,489,377,726,234,624/31,488,754,186,528 - Step 6: Final answer
x = 25,127,885,135,259.25
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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.