Finding the Fourth Proportional to 49,911,951,072.96, 68,880,158,227.68 and 27,356,872,273.20
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Solution
The fourth proportional to 49,911,951,072.96, 68,880,158,227.68 and 27,356,872,273.20 is: 37,753,396,737.35
Step by Step Solution
- Step 1: Write the proportion equation
49,911,951,072.96 : 68,880,158,227.68 = 27,356,872,273.20 : x - Step 2: Convert to fraction form
49,911,951,072.96/68,880,158,227.68 = 27,356,872,273.20/x - Step 3: Cross multiply
49,911,951,072.96x = 68,880,158,227.68 × 27,356,872,273.20 - Step 4: Simplify right side
49,911,951,072.96x = 1,884,345,690,792,447,705,088 - Step 5: Solve for x
x = 1,884,345,690,792,447,705,088/49,911,951,072.96 - Step 6: Final answer
x = 37,753,396,737.35
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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.