Finding the Fourth Proportional to 591,106,193,852.16, 886,569,703,355.54 and 160,876,804,584.87
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Solution
The fourth proportional to 591,106,193,852.16, 886,569,703,355.54 and 160,876,804,584.87 is: 241,290,824,560.82
Step by Step Solution
- Step 1: Write the proportion equation
591,106,193,852.16 : 886,569,703,355.54 = 160,876,804,584.87 : x - Step 2: Convert to fraction form
591,106,193,852.16/886,569,703,355.54 = 160,876,804,584.87/x - Step 3: Cross multiply
591,106,193,852.16x = 886,569,703,355.54 × 160,876,804,584.87 - Step 4: Simplify right side
591,106,193,852.16x = 142,628,500,917,595,372,781,568 - Step 5: Solve for x
x = 142,628,500,917,595,372,781,568/591,106,193,852.16 - Step 6: Final answer
x = 241,290,824,560.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.