Finding the Fourth Proportional to 168,468,164,114.97, 232,350,506,883.26 and 148,102,074,406.28
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Solution
The fourth proportional to 168,468,164,114.97, 232,350,506,883.26 and 148,102,074,406.28 is: 204,261,690,863.31
Step by Step Solution
- Step 1: Write the proportion equation
168,468,164,114.97 : 232,350,506,883.26 = 148,102,074,406.28 : x - Step 2: Convert to fraction form
168,468,164,114.97/232,350,506,883.26 = 148,102,074,406.28/x - Step 3: Cross multiply
168,468,164,114.97x = 232,350,506,883.26 × 148,102,074,406.28 - Step 4: Simplify right side
168,468,164,114.97x = 34,411,592,058,761,446,948,864 - Step 5: Solve for x
x = 34,411,592,058,761,446,948,864/168,468,164,114.97 - Step 6: Final answer
x = 204,261,690,863.31
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1.5x scale
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.