Finding the Fourth Proportional to 294,916,722,017.40, 406,985,783,833.26 and 159,587,354,616.12
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Solution
The fourth proportional to 294,916,722,017.40, 406,985,783,833.26 and 159,587,354,616.12 is: 220,230,932,190.02
Step by Step Solution
- Step 1: Write the proportion equation
294,916,722,017.40 : 406,985,783,833.26 = 159,587,354,616.12 : x - Step 2: Convert to fraction form
294,916,722,017.40/406,985,783,833.26 = 159,587,354,616.12/x - Step 3: Cross multiply
294,916,722,017.40x = 406,985,783,833.26 × 159,587,354,616.12 - Step 4: Simplify right side
294,916,722,017.40x = 64,949,784,608,318,018,289,664 - Step 5: Solve for x
x = 64,949,784,608,318,018,289,664/294,916,722,017.40 - Step 6: Final answer
x = 220,230,932,190.02
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.