Finding the Fourth Proportional to 17,674,342,579,911, 24,387,055,330,194 and 9,869,284,660,285.50
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Solution
The fourth proportional to 17,674,342,579,911, 24,387,055,330,194 and 9,869,284,660,285.50 is: 13,617,637,543,892.70
Step by Step Solution
- Step 1: Write the proportion equation
17,674,342,579,911 : 24,387,055,330,194 = 9,869,284,660,285.50 : x - Step 2: Convert to fraction form
17,674,342,579,911/24,387,055,330,194 = 9,869,284,660,285.50/x - Step 3: Cross multiply
17,674,342,579,911x = 24,387,055,330,194 × 9,869,284,660,285.50 - Step 4: Simplify right side
17,674,342,579,911x = 240,682,791,079,817,379,160,522,752 - Step 5: Solve for x
x = 240,682,791,079,817,379,160,522,752/17,674,342,579,911 - Step 6: Final answer
x = 13,617,637,543,892.70
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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.