Finding the Fourth Proportional to 5,160,902,498.70, 7,741,331,653.76 and 1,430,183,234.18
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Solution
The fourth proportional to 5,160,902,498.70, 7,741,331,653.76 and 1,430,183,234.18 is: 2,145,268,728.53
Step by Step Solution
- Step 1: Write the proportion equation
5,160,902,498.70 : 7,741,331,653.76 = 1,430,183,234.18 : x - Step 2: Convert to fraction form
5,160,902,498.70/7,741,331,653.76 = 1,430,183,234.18/x - Step 3: Cross multiply
5,160,902,498.70x = 7,741,331,653.76 × 1,430,183,234.18 - Step 4: Simplify right side
5,160,902,498.70x = 11,071,522,741,434,484,736 - Step 5: Solve for x
x = 11,071,522,741,434,484,736/5,160,902,498.70 - Step 6: Final answer
x = 2,145,268,728.53
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.