Finding the Fourth Proportional to 884,873,947,774.06, 1,221,113,052,264.70 and 494,246,212,229.72
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Solution
The fourth proportional to 884,873,947,774.06, 1,221,113,052,264.70 and 494,246,212,229.72 is: 682,052,514,151.09
Step by Step Solution
- Step 1: Write the proportion equation
884,873,947,774.06 : 1,221,113,052,264.70 = 494,246,212,229.72 : x - Step 2: Convert to fraction form
884,873,947,774.06/1,221,113,052,264.70 = 494,246,212,229.72/x - Step 3: Cross multiply
884,873,947,774.06x = 1,221,113,052,264.70 × 494,246,212,229.72 - Step 4: Simplify right side
884,873,947,774.06x = 603,530,500,786,100,019,134,464 - Step 5: Solve for x
x = 603,530,500,786,100,019,134,464/884,873,947,774.06 - Step 6: Final answer
x = 682,052,514,151.09
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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.