Finding the Fourth Proportional to 761,677,648,910.82, 1,051,083,431,804.20 and 414,449,291,416.18
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Solution
The fourth proportional to 761,677,648,910.82, 1,051,083,431,804.20 and 414,449,291,416.18 is: 571,922,760,440.02
Step by Step Solution
- Step 1: Write the proportion equation
761,677,648,910.82 : 1,051,083,431,804.20 = 414,449,291,416.18 : x - Step 2: Convert to fraction form
761,677,648,910.82/1,051,083,431,804.20 = 414,449,291,416.18/x - Step 3: Cross multiply
761,677,648,910.82x = 1,051,083,431,804.20 × 414,449,291,416.18 - Step 4: Simplify right side
761,677,648,910.82x = 435,620,783,530,537,392,275,456 - Step 5: Solve for x
x = 435,620,783,530,537,392,275,456/761,677,648,910.82 - Step 6: Final answer
x = 571,922,760,440.02
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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.