Finding the Fourth Proportional to 442,188,801,007.20, 663,283,201,510.80 and 219,034,599,343.20
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Solution
The fourth proportional to 442,188,801,007.20, 663,283,201,510.80 and 219,034,599,343.20 is: 328,551,899,014.80
Step by Step Solution
- Step 1: Write the proportion equation
442,188,801,007.20 : 663,283,201,510.80 = 219,034,599,343.20 : x - Step 2: Convert to fraction form
442,188,801,007.20/663,283,201,510.80 = 219,034,599,343.20/x - Step 3: Cross multiply
442,188,801,007.20x = 663,283,201,510.80 × 219,034,599,343.20 - Step 4: Simplify right side
442,188,801,007.20x = 145,281,970,293,993,086,386,176 - Step 5: Solve for x
x = 145,281,970,293,993,086,386,176/442,188,801,007.20 - Step 6: Final answer
x = 328,551,899,014.80
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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.