Finding the Fourth Proportional to 446,133,468,074.28, 615,666,270,864.12 and 253,456,213,720.56
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Solution
The fourth proportional to 446,133,468,074.28, 615,666,270,864.12 and 253,456,213,720.56 is: 349,770,759,414.75
Step by Step Solution
- Step 1: Write the proportion equation
446,133,468,074.28 : 615,666,270,864.12 = 253,456,213,720.56 : x - Step 2: Convert to fraction form
446,133,468,074.28/615,666,270,864.12 = 253,456,213,720.56/x - Step 3: Cross multiply
446,133,468,074.28x = 615,666,270,864.12 × 253,456,213,720.56 - Step 4: Simplify right side
446,133,468,074.28x = 156,044,441,928,676,575,019,008 - Step 5: Solve for x
x = 156,044,441,928,676,575,019,008/446,133,468,074.28 - Step 6: Final answer
x = 349,770,759,414.75
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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.