Finding the Fourth Proportional to 902,729,065,205.90, 1,245,728,511,534.50 and 491,199,160,027.01
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Solution
The fourth proportional to 902,729,065,205.90, 1,245,728,511,534.50 and 491,199,160,027.01 is: 677,834,382,509.75
Step by Step Solution
- Step 1: Write the proportion equation
902,729,065,205.90 : 1,245,728,511,534.50 = 491,199,160,027.01 : x - Step 2: Convert to fraction form
902,729,065,205.90/1,245,728,511,534.50 = 491,199,160,027.01/x - Step 3: Cross multiply
902,729,065,205.90x = 1,245,728,511,534.50 × 491,199,160,027.01 - Step 4: Simplify right side
902,729,065,205.90x = 611,900,798,487,443,787,481,088 - Step 5: Solve for x
x = 611,900,798,487,443,787,481,088/902,729,065,205.90 - Step 6: Final answer
x = 677,834,382,509.75
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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.