Finding the Fourth Proportional to 917,770,653,095.24, 1,266,524,721,294.70 and 506,229,902,583.32
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Solution
The fourth proportional to 917,770,653,095.24, 1,266,524,721,294.70 and 506,229,902,583.32 is: 698,597,938,513.35
Step by Step Solution
- Step 1: Write the proportion equation
917,770,653,095.24 : 1,266,524,721,294.70 = 506,229,902,583.32 : x - Step 2: Convert to fraction form
917,770,653,095.24/1,266,524,721,294.70 = 506,229,902,583.32/x - Step 3: Cross multiply
917,770,653,095.24x = 1,266,524,721,294.70 × 506,229,902,583.32 - Step 4: Simplify right side
917,770,653,095.24x = 641,152,686,280,382,479,335,424 - Step 5: Solve for x
x = 641,152,686,280,382,479,335,424/917,770,653,095.24 - Step 6: Final answer
x = 698,597,938,513.35
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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.