Finding the Fourth Proportional to 857,268,863,015.82, 1,285,903,294,080.80 and 320,088,774,379.28
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Solution
The fourth proportional to 857,268,863,015.82, 1,285,903,294,080.80 and 320,088,774,379.28 is: 480,133,161,403.54
Step by Step Solution
- Step 1: Write the proportion equation
857,268,863,015.82 : 1,285,903,294,080.80 = 320,088,774,379.28 : x - Step 2: Convert to fraction form
857,268,863,015.82/1,285,903,294,080.80 = 320,088,774,379.28/x - Step 3: Cross multiply
857,268,863,015.82x = 1,285,903,294,080.80 × 320,088,774,379.28 - Step 4: Simplify right side
857,268,863,015.82x = 411,603,209,372,602,212,548,608 - Step 5: Solve for x
x = 411,603,209,372,602,212,548,608/857,268,863,015.82 - Step 6: Final answer
x = 480,133,161,403.54
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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.