Finding the Fourth Proportional to 45,510,865,638,756, 62,805,056,775,196 and 24,700,580,634,920
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Solution
The fourth proportional to 45,510,865,638,756, 62,805,056,775,196 and 24,700,580,634,920 is: 34,086,835,031,223.58
Step by Step Solution
- Step 1: Write the proportion equation
45,510,865,638,756 : 62,805,056,775,196 = 24,700,580,634,920 : x - Step 2: Convert to fraction form
45,510,865,638,756/62,805,056,775,196 = 24,700,580,634,920/x - Step 3: Cross multiply
45,510,865,638,756x = 62,805,056,775,196 × 24,700,580,634,920 - Step 4: Simplify right side
45,510,865,638,756x = 1,551,321,369,156,457,468,681,781,248 - Step 5: Solve for x
x = 1,551,321,369,156,457,468,681,781,248/45,510,865,638,756 - Step 6: Final answer
x = 34,086,835,031,223.58
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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.