Finding the Fourth Proportional to 17,674,342,579,920, 24,387,055,330,209 and 9,869,284,660,293
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Solution
The fourth proportional to 17,674,342,579,920, 24,387,055,330,209 and 9,869,284,660,293 is: 13,617,637,543,904.49
Step by Step Solution
- Step 1: Write the proportion equation
17,674,342,579,920 : 24,387,055,330,209 = 9,869,284,660,293 : x - Step 2: Convert to fraction form
17,674,342,579,920/24,387,055,330,209 = 9,869,284,660,293/x - Step 3: Cross multiply
17,674,342,579,920x = 24,387,055,330,209 × 9,869,284,660,293 - Step 4: Simplify right side
17,674,342,579,920x = 240,682,791,080,148,332,160,483,328 - Step 5: Solve for x
x = 240,682,791,080,148,332,160,483,328/17,674,342,579,920 - Step 6: Final answer
x = 13,617,637,543,904.49
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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.