Finding the Fourth Proportional to 722,427,553,250.28, 996,706,004,940.18 and 409,534,369,717.32
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Solution
The fourth proportional to 722,427,553,250.28, 996,706,004,940.18 and 409,534,369,717.32 is: 565,019,099,410.28
Step by Step Solution
- Step 1: Write the proportion equation
722,427,553,250.28 : 996,706,004,940.18 = 409,534,369,717.32 : x - Step 2: Convert to fraction form
722,427,553,250.28/996,706,004,940.18 = 409,534,369,717.32/x - Step 3: Cross multiply
722,427,553,250.28x = 996,706,004,940.18 × 409,534,369,717.32 - Step 4: Simplify right side
722,427,553,250.28x = 408,185,365,526,644,707,557,376 - Step 5: Solve for x
x = 408,185,365,526,644,707,557,376/722,427,553,250.28 - Step 6: Final answer
x = 565,019,099,410.28
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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.