Finding the Fourth Proportional to 2,178,936,313,313.40, 3,268,416,687,495.20 and 726,794,988,859.14
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Solution
The fourth proportional to 2,178,936,313,313.40, 3,268,416,687,495.20 and 726,794,988,859.14 is: 1,090,196,558,504.66
Step by Step Solution
- Step 1: Write the proportion equation
2,178,936,313,313.40 : 3,268,416,687,495.20 = 726,794,988,859.14 : x - Step 2: Convert to fraction form
2,178,936,313,313.40/3,268,416,687,495.20 = 726,794,988,859.14/x - Step 3: Cross multiply
2,178,936,313,313.40x = 3,268,416,687,495.20 × 726,794,988,859.14 - Step 4: Simplify right side
2,178,936,313,313.40x = 2,375,468,869,975,101,340,123,136 - Step 5: Solve for x
x = 2,375,468,869,975,101,340,123,136/2,178,936,313,313.40 - Step 6: Final answer
x = 1,090,196,558,504.66
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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.