Finding the Fourth Proportional to 11,377,716,409,691, 15,701,264,193,802 and 6,175,145,158,732
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Solution
The fourth proportional to 11,377,716,409,691, 15,701,264,193,802 and 6,175,145,158,732 is: 8,521,708,757,808.78
Step by Step Solution
- Step 1: Write the proportion equation
11,377,716,409,691 : 15,701,264,193,802 = 6,175,145,158,732 : x - Step 2: Convert to fraction form
11,377,716,409,691/15,701,264,193,802 = 6,175,145,158,732/x - Step 3: Cross multiply
11,377,716,409,691x = 15,701,264,193,802 × 6,175,145,158,732 - Step 4: Simplify right side
11,377,716,409,691x = 96,957,585,572,328,516,492,460,032 - Step 5: Solve for x
x = 96,957,585,572,328,516,492,460,032/11,377,716,409,691 - Step 6: Final answer
x = 8,521,708,757,808.78
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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.