Finding the Fourth Proportional to 873,319,147,743.25, 1,205,242,788,173.70 and 482,677,307,864.15
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Solution
The fourth proportional to 873,319,147,743.25, 1,205,242,788,173.70 and 482,677,307,864.15 is: 666,129,153,152.83
Step by Step Solution
- Step 1: Write the proportion equation
873,319,147,743.25 : 1,205,242,788,173.70 = 482,677,307,864.15 : x - Step 2: Convert to fraction form
873,319,147,743.25/1,205,242,788,173.70 = 482,677,307,864.15/x - Step 3: Cross multiply
873,319,147,743.25x = 1,205,242,788,173.70 × 482,677,307,864.15 - Step 4: Simplify right side
873,319,147,743.25x = 581,743,344,318,363,526,496,256 - Step 5: Solve for x
x = 581,743,344,318,363,526,496,256/873,319,147,743.25 - Step 6: Final answer
x = 666,129,153,152.83
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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.