Finding the Fourth Proportional to 764,721,915,992.18, 1,146,517,374,542.20 and 462,467,322,346.68
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Solution
The fourth proportional to 764,721,915,992.18, 1,146,517,374,542.20 and 462,467,322,346.68 is: 693,358,996,440.61
Step by Step Solution
- Step 1: Write the proportion equation
764,721,915,992.18 : 1,146,517,374,542.20 = 462,467,322,346.68 : x - Step 2: Convert to fraction form
764,721,915,992.18/1,146,517,374,542.20 = 462,467,322,346.68/x - Step 3: Cross multiply
764,721,915,992.18x = 1,146,517,374,542.20 × 462,467,322,346.68 - Step 4: Simplify right side
764,721,915,992.18x = 530,226,820,228,476,802,433,024 - Step 5: Solve for x
x = 530,226,820,228,476,802,433,024/764,721,915,992.18 - Step 6: Final answer
x = 693,358,996,440.61
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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.