Finding the Fourth Proportional to 3,269,311,465.91, 4,905,497,770.79 and 1,428,824,994.71
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Solution
The fourth proportional to 3,269,311,465.91, 4,905,497,770.79 and 1,428,824,994.71 is: 2,143,906,415.61
Step by Step Solution
- Step 1: Write the proportion equation
3,269,311,465.91 : 4,905,497,770.79 = 1,428,824,994.71 : x - Step 2: Convert to fraction form
3,269,311,465.91/4,905,497,770.79 = 1,428,824,994.71/x - Step 3: Cross multiply
3,269,311,465.91x = 4,905,497,770.79 × 1,428,824,994.71 - Step 4: Simplify right side
3,269,311,465.91x = 7,009,097,826,367,266,816 - Step 5: Solve for x
x = 7,009,097,826,367,266,816/3,269,311,465.91 - Step 6: Final answer
x = 2,143,906,415.61
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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.