Finding the Fourth Proportional to 202,236,069,317.26, 302,931,966,795.84 and 121,305,109,702.28
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Solution
The fourth proportional to 202,236,069,317.26, 302,931,966,795.84 and 121,305,109,702.28 is: 181,704,458,500.18
Step by Step Solution
- Step 1: Write the proportion equation
202,236,069,317.26 : 302,931,966,795.84 = 121,305,109,702.28 : x - Step 2: Convert to fraction form
202,236,069,317.26/302,931,966,795.84 = 121,305,109,702.28/x - Step 3: Cross multiply
202,236,069,317.26x = 302,931,966,795.84 × 121,305,109,702.28 - Step 4: Simplify right side
202,236,069,317.26x = 36,747,195,464,496,816,586,752 - Step 5: Solve for x
x = 36,747,195,464,496,816,586,752/202,236,069,317.26 - Step 6: Final answer
x = 181,704,458,500.18
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.