Finding the Fourth Proportional to 812,441,396,018.98, 1,121,102,483,974 and 478,294,620,164.48
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Solution
The fourth proportional to 812,441,396,018.98, 1,121,102,483,974 and 478,294,620,164.48 is: 660,007,342,517.63
Step by Step Solution
- Step 1: Write the proportion equation
812,441,396,018.98 : 1,121,102,483,974 = 478,294,620,164.48 : x - Step 2: Convert to fraction form
812,441,396,018.98/1,121,102,483,974 = 478,294,620,164.48/x - Step 3: Cross multiply
812,441,396,018.98x = 1,121,102,483,974 × 478,294,620,164.48 - Step 4: Simplify right side
812,441,396,018.98x = 536,217,286,737,799,338,262,528 - Step 5: Solve for x
x = 536,217,286,737,799,338,262,528/812,441,396,018.98 - Step 6: Final answer
x = 660,007,342,517.63
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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.