Finding the Fourth Proportional to 829,639,526,422.73, 1,145,255,071,932 and 516,934,408,884.52
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Solution
The fourth proportional to 829,639,526,422.73, 1,145,255,071,932 and 516,934,408,884.52 is: 713,589,136,939.83
Step by Step Solution
- Step 1: Write the proportion equation
829,639,526,422.73 : 1,145,255,071,932 = 516,934,408,884.52 : x - Step 2: Convert to fraction form
829,639,526,422.73/1,145,255,071,932 = 516,934,408,884.52/x - Step 3: Cross multiply
829,639,526,422.73x = 1,145,255,071,932 × 516,934,408,884.52 - Step 4: Simplify right side
829,639,526,422.73x = 592,021,753,631,166,900,994,048 - Step 5: Solve for x
x = 592,021,753,631,166,900,994,048/829,639,526,422.73 - Step 6: Final answer
x = 713,589,136,939.83
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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.