Finding the Fourth Proportional to 40,082,201,727,016, 60,090,857,487,088 and 12,531,193,547,973
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Solution
The fourth proportional to 40,082,201,727,016, 60,090,857,487,088 and 12,531,193,547,973 is: 18,786,646,770,624.43
Step by Step Solution
- Step 1: Write the proportion equation
40,082,201,727,016 : 60,090,857,487,088 = 12,531,193,547,973 : x - Step 2: Convert to fraction form
40,082,201,727,016/60,090,857,487,088 = 12,531,193,547,973/x - Step 3: Cross multiply
40,082,201,727,016x = 60,090,857,487,088 × 12,531,193,547,973 - Step 4: Simplify right side
40,082,201,727,016x = 753,010,165,634,362,150,664,273,920 - Step 5: Solve for x
x = 753,010,165,634,362,150,664,273,920/40,082,201,727,016 - Step 6: Final answer
x = 18,786,646,770,624.43
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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.