Finding the Fourth Proportional to 2,377,926,643.20, 3,566,889,964.80 and 824,701,747.20
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Solution
The fourth proportional to 2,377,926,643.20, 3,566,889,964.80 and 824,701,747.20 is: 1,237,052,620.80
Step by Step Solution
- Step 1: Write the proportion equation
2,377,926,643.20 : 3,566,889,964.80 = 824,701,747.20 : x - Step 2: Convert to fraction form
2,377,926,643.20/3,566,889,964.80 = 824,701,747.20/x - Step 3: Cross multiply
2,377,926,643.20x = 3,566,889,964.80 × 824,701,747.20 - Step 4: Simplify right side
2,377,926,643.20x = 2,941,620,386,040,707,072 - Step 5: Solve for x
x = 2,941,620,386,040,707,072/2,377,926,643.20 - Step 6: Final answer
x = 1,237,052,620.80
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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.