Finding the Fourth Proportional to 2,293,797,934,969, 3,165,441,460,101.20 and 1,266,129,717,840.80
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Solution
The fourth proportional to 2,293,797,934,969, 3,165,441,460,101.20 and 1,266,129,717,840.80 is: 1,747,259,181,647.87
Step by Step Solution
- Step 1: Write the proportion equation
2,293,797,934,969 : 3,165,441,460,101.20 = 1,266,129,717,840.80 : x - Step 2: Convert to fraction form
2,293,797,934,969/3,165,441,460,101.20 = 1,266,129,717,840.80/x - Step 3: Cross multiply
2,293,797,934,969x = 3,165,441,460,101.20 × 1,266,129,717,840.80 - Step 4: Simplify right side
2,293,797,934,969x = 4,007,859,502,719,502,515,175,424 - Step 5: Solve for x
x = 4,007,859,502,719,502,515,175,424/2,293,797,934,969 - Step 6: Final answer
x = 1,747,259,181,647.87
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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.