Finding the Fourth Proportional to 194,453,306,601.43, 268,348,740,094.99 and 106,460,071,602.68
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Solution
The fourth proportional to 194,453,306,601.43, 268,348,740,094.99 and 106,460,071,602.68 is: 146,916,638,160.12
Step by Step Solution
- Step 1: Write the proportion equation
194,453,306,601.43 : 268,348,740,094.99 = 106,460,071,602.68 : x - Step 2: Convert to fraction form
194,453,306,601.43/268,348,740,094.99 = 106,460,071,602.68/x - Step 3: Cross multiply
194,453,306,601.43x = 268,348,740,094.99 × 106,460,071,602.68 - Step 4: Simplify right side
194,453,306,601.43x = 28,568,426,085,001,598,074,880 - Step 5: Solve for x
x = 28,568,426,085,001,598,074,880/194,453,306,601.43 - Step 6: Final answer
x = 146,916,638,160.12
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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.