Finding the Fourth Proportional to 8,280,196,642,623, 12,420,547,994,040 and 2,840,747,191,144
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Solution
The fourth proportional to 8,280,196,642,623, 12,420,547,994,040 and 2,840,747,191,144 is: 4,261,207,595,591.74
Step by Step Solution
- Step 1: Write the proportion equation
8,280,196,642,623 : 12,420,547,994,040 = 2,840,747,191,144 : x - Step 2: Convert to fraction form
8,280,196,642,623/12,420,547,994,040 = 2,840,747,191,144/x - Step 3: Cross multiply
8,280,196,642,623x = 12,420,547,994,040 × 2,840,747,191,144 - Step 4: Simplify right side
8,280,196,642,623x = 35,283,636,826,538,375,714,439,168 - Step 5: Solve for x
x = 35,283,636,826,538,375,714,439,168/8,280,196,642,623 - Step 6: Final answer
x = 4,261,207,595,591.74
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.