Finding the Fourth Proportional to 194,453,306,602.43, 268,348,740,096.37 and 106,460,071,603.68
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Solution
The fourth proportional to 194,453,306,602.43, 268,348,740,096.37 and 106,460,071,603.68 is: 146,916,638,161.50
Step by Step Solution
- Step 1: Write the proportion equation
194,453,306,602.43 : 268,348,740,096.37 = 106,460,071,603.68 : x - Step 2: Convert to fraction form
194,453,306,602.43/268,348,740,096.37 = 106,460,071,603.68/x - Step 3: Cross multiply
194,453,306,602.43x = 268,348,740,096.37 × 106,460,071,603.68 - Step 4: Simplify right side
194,453,306,602.43x = 28,568,426,085,416,863,531,008 - Step 5: Solve for x
x = 28,568,426,085,416,863,531,008/194,453,306,602.43 - Step 6: Final answer
x = 146,916,638,161.50
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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.