Finding the Fourth Proportional to 45,510,865,638,760, 62,805,056,775,204 and 24,700,580,634,924
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Solution
The fourth proportional to 45,510,865,638,760, 62,805,056,775,204 and 24,700,580,634,924 is: 34,086,835,031,230.45
Step by Step Solution
- Step 1: Write the proportion equation
45,510,865,638,760 : 62,805,056,775,204 = 24,700,580,634,924 : x - Step 2: Convert to fraction form
45,510,865,638,760/62,805,056,775,204 = 24,700,580,634,924/x - Step 3: Cross multiply
45,510,865,638,760x = 62,805,056,775,204 × 24,700,580,634,924 - Step 4: Simplify right side
45,510,865,638,760x = 1,551,321,369,156,906,344,303,820,800 - Step 5: Solve for x
x = 1,551,321,369,156,906,344,303,820,800/45,510,865,638,760 - Step 6: Final answer
x = 34,086,835,031,230.45
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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.