Finding the Fourth Proportional to 3,782,217,906, 5,219,406,225.96 and 2,088,744,206.64
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Solution
The fourth proportional to 3,782,217,906, 5,219,406,225.96 and 2,088,744,206.64 is: 2,882,436,915.99
Step by Step Solution
- Step 1: Write the proportion equation
3,782,217,906 : 5,219,406,225.96 = 2,088,744,206.64 : x - Step 2: Convert to fraction form
3,782,217,906/5,219,406,225.96 = 2,088,744,206.64/x - Step 3: Cross multiply
3,782,217,906x = 5,219,406,225.96 × 2,088,744,206.64 - Step 4: Simplify right side
3,782,217,906x = 10,902,004,516,574,697,472 - Step 5: Solve for x
x = 10,902,004,516,574,697,472/3,782,217,906 - Step 6: Final answer
x = 2,882,436,915.99
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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.