Finding the Fourth Proportional to 30,755,897,657,564, 42,443,170,179,192 and 16,693,096,852,420
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Solution
The fourth proportional to 30,755,897,657,564, 42,443,170,179,192 and 16,693,096,852,420 is: 23,036,490,705,409.42
Step by Step Solution
- Step 1: Write the proportion equation
30,755,897,657,564 : 42,443,170,179,192 = 16,693,096,852,420 : x - Step 2: Convert to fraction form
30,755,897,657,564/42,443,170,179,192 = 16,693,096,852,420/x - Step 3: Cross multiply
30,755,897,657,564x = 42,443,170,179,192 × 16,693,096,852,420 - Step 4: Simplify right side
30,755,897,657,564x = 708,507,950,524,996,322,383,101,952 - Step 5: Solve for x
x = 708,507,950,524,996,322,383,101,952/30,755,897,657,564 - Step 6: Final answer
x = 23,036,490,705,409.42
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1.5x scale
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.