Finding the Fourth Proportional to 11,184,544,913,856, 15,432,433,451,148 and 6,245,406,699,091.80
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Solution
The fourth proportional to 11,184,544,913,856, 15,432,433,451,148 and 6,245,406,699,091.80 is: 8,617,411,258,252.02
Step by Step Solution
- Step 1: Write the proportion equation
11,184,544,913,856 : 15,432,433,451,148 = 6,245,406,699,091.80 : x - Step 2: Convert to fraction form
11,184,544,913,856/15,432,433,451,148 = 6,245,406,699,091.80/x - Step 3: Cross multiply
11,184,544,913,856x = 15,432,433,451,148 × 6,245,406,699,091.80 - Step 4: Simplify right side
11,184,544,913,856x = 96,381,823,259,088,096,029,835,264 - Step 5: Solve for x
x = 96,381,823,259,088,096,029,835,264/11,184,544,913,856 - Step 6: Final answer
x = 8,617,411,258,252.02
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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.