Finding the Fourth Proportional to 5,891,447,526,633, 8,129,018,443,394.40 and 3,289,761,553,424.50
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Solution
The fourth proportional to 5,891,447,526,633, 8,129,018,443,394.40 and 3,289,761,553,424.50 is: 4,539,212,514,626.45
Step by Step Solution
- Step 1: Write the proportion equation
5,891,447,526,633 : 8,129,018,443,394.40 = 3,289,761,553,424.50 : x - Step 2: Convert to fraction form
5,891,447,526,633/8,129,018,443,394.40 = 3,289,761,553,424.50/x - Step 3: Cross multiply
5,891,447,526,633x = 8,129,018,443,394.40 × 3,289,761,553,424.50 - Step 4: Simplify right side
5,891,447,526,633x = 26,742,532,342,157,575,458,914,304 - Step 5: Solve for x
x = 26,742,532,342,157,575,458,914,304/5,891,447,526,633 - Step 6: Final answer
x = 4,539,212,514,626.45
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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.