Finding the Fourth Proportional to 1,392,362,397.18, 1,921,959,904.50 and 827,845,932.09
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Solution
The fourth proportional to 1,392,362,397.18, 1,921,959,904.50 and 827,845,932.09 is: 1,142,724,546.28
Step by Step Solution
- Step 1: Write the proportion equation
1,392,362,397.18 : 1,921,959,904.50 = 827,845,932.09 : x - Step 2: Convert to fraction form
1,392,362,397.18/1,921,959,904.50 = 827,845,932.09/x - Step 3: Cross multiply
1,392,362,397.18x = 1,921,959,904.50 × 827,845,932.09 - Step 4: Simplify right side
1,392,362,397.18x = 1,591,086,688,580,409,856 - Step 5: Solve for x
x = 1,591,086,688,580,409,856/1,392,362,397.18 - Step 6: Final answer
x = 1,142,724,546.28
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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.