Finding the Fourth Proportional to 4,638,863,267,437.80, 6,401,829,719,992.90 and 2,583,526,115,736
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Solution
The fourth proportional to 4,638,863,267,437.80, 6,401,829,719,992.90 and 2,583,526,115,736 is: 3,565,376,540,885.15
Step by Step Solution
- Step 1: Write the proportion equation
4,638,863,267,437.80 : 6,401,829,719,992.90 = 2,583,526,115,736 : x - Step 2: Convert to fraction form
4,638,863,267,437.80/6,401,829,719,992.90 = 2,583,526,115,736/x - Step 3: Cross multiply
4,638,863,267,437.80x = 6,401,829,719,992.90 × 2,583,526,115,736 - Step 4: Simplify right side
4,638,863,267,437.80x = 16,539,294,270,096,543,062,163,456 - Step 5: Solve for x
x = 16,539,294,270,096,543,062,163,456/4,638,863,267,437.80 - Step 6: Final answer
x = 3,565,376,540,885.15
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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.