Finding the Fourth Proportional to 30,755,897,658,598, 42,443,170,180,610 and 16,693,096,853,460
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Solution
The fourth proportional to 30,755,897,658,598, 42,443,170,180,610 and 16,693,096,853,460 is: 23,036,490,706,839.78
Step by Step Solution
- Step 1: Write the proportion equation
30,755,897,658,598 : 42,443,170,180,610 = 16,693,096,853,460 : x - Step 2: Convert to fraction form
30,755,897,658,598/42,443,170,180,610 = 16,693,096,853,460/x - Step 3: Cross multiply
30,755,897,658,598x = 42,443,170,180,610 × 16,693,096,853,460 - Step 4: Simplify right side
30,755,897,658,598x = 708,507,950,592,808,152,270,372,864 - Step 5: Solve for x
x = 708,507,950,592,808,152,270,372,864/30,755,897,658,598 - Step 6: Final answer
x = 23,036,490,706,839.78
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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.