Finding the Fourth Proportional to 1,566,090,442.26, 2,161,261,634.85 and 897,164,770.14
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Solution
The fourth proportional to 1,566,090,442.26, 2,161,261,634.85 and 897,164,770.14 is: 1,238,119,935.81
Step by Step Solution
- Step 1: Write the proportion equation
1,566,090,442.26 : 2,161,261,634.85 = 897,164,770.14 : x - Step 2: Convert to fraction form
1,566,090,442.26/2,161,261,634.85 = 897,164,770.14/x - Step 3: Cross multiply
1,566,090,442.26x = 2,161,261,634.85 × 897,164,770.14 - Step 4: Simplify right side
1,566,090,442.26x = 1,939,007,797,842,600,704 - Step 5: Solve for x
x = 1,939,007,797,842,600,704/1,566,090,442.26 - Step 6: Final answer
x = 1,238,119,935.81
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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.