Finding the Fourth Proportional to 128,387,993,567.64, 192,414,461,260.77 and 71,725,567,811.13
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Solution
The fourth proportional to 128,387,993,567.64, 192,414,461,260.77 and 71,725,567,811.13 is: 107,494,759,482.56
Step by Step Solution
- Step 1: Write the proportion equation
128,387,993,567.64 : 192,414,461,260.77 = 71,725,567,811.13 : x - Step 2: Convert to fraction form
128,387,993,567.64/192,414,461,260.77 = 71,725,567,811.13/x - Step 3: Cross multiply
128,387,993,567.64x = 192,414,461,260.77 × 71,725,567,811.13 - Step 4: Simplify right side
128,387,993,567.64x = 13,801,036,489,001,405,513,728 - Step 5: Solve for x
x = 13,801,036,489,001,405,513,728/128,387,993,567.64 - Step 6: Final answer
x = 107,494,759,482.56
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1.5x scale
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.