Finding the Fourth Proportional to 49,984,657,902.40, 68,980,816,660.24 and 27,430,328,441.76
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Solution
The fourth proportional to 49,984,657,902.40, 68,980,816,660.24 and 27,430,328,441.76 is: 37,854,944,628.53
Step by Step Solution
- Step 1: Write the proportion equation
49,984,657,902.40 : 68,980,816,660.24 = 27,430,328,441.76 : x - Step 2: Convert to fraction form
49,984,657,902.40/68,980,816,660.24 = 27,430,328,441.76/x - Step 3: Cross multiply
49,984,657,902.40x = 68,980,816,660.24 × 27,430,328,441.76 - Step 4: Simplify right side
49,984,657,902.40x = 1,892,166,457,171,213,287,424 - Step 5: Solve for x
x = 1,892,166,457,171,213,287,424/49,984,657,902.40 - Step 6: Final answer
x = 37,854,944,628.53
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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.