Finding the Fourth Proportional to 656,772,158,461.18, 984,799,102,762.58 and 521,503,209,424.92
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Solution
The fourth proportional to 656,772,158,461.18, 984,799,102,762.58 and 521,503,209,424.92 is: 781,969,646,723.12
Step by Step Solution
- Step 1: Write the proportion equation
656,772,158,461.18 : 984,799,102,762.58 = 521,503,209,424.92 : x - Step 2: Convert to fraction form
656,772,158,461.18/984,799,102,762.58 = 521,503,209,424.92/x - Step 3: Cross multiply
656,772,158,461.18x = 984,799,102,762.58 × 521,503,209,424.92 - Step 4: Simplify right side
656,772,158,461.18x = 513,575,892,729,467,045,412,864 - Step 5: Solve for x
x = 513,575,892,729,467,045,412,864/656,772,158,461.18 - Step 6: Final answer
x = 781,969,646,723.12
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.