Finding the Fourth Proportional to 917,770,653,094.24, 1,266,524,721,293.30 and 506,229,902,582.32
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Solution
The fourth proportional to 917,770,653,094.24, 1,266,524,721,293.30 and 506,229,902,582.32 is: 698,597,938,511.96
Step by Step Solution
- Step 1: Write the proportion equation
917,770,653,094.24 : 1,266,524,721,293.30 = 506,229,902,582.32 : x - Step 2: Convert to fraction form
917,770,653,094.24/1,266,524,721,293.30 = 506,229,902,582.32/x - Step 3: Cross multiply
917,770,653,094.24x = 1,266,524,721,293.30 × 506,229,902,582.32 - Step 4: Simplify right side
917,770,653,094.24x = 641,152,686,278,407,331,250,176 - Step 5: Solve for x
x = 641,152,686,278,407,331,250,176/917,770,653,094.24 - Step 6: Final answer
x = 698,597,938,511.96
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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.