Finding the Fourth Proportional to 16,178,956,116.19, 24,268,434,174.29 and 4,546,775,508.19
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Solution
The fourth proportional to 16,178,956,116.19, 24,268,434,174.29 and 4,546,775,508.19 is: 6,820,163,262.28
Step by Step Solution
- Step 1: Write the proportion equation
16,178,956,116.19 : 24,268,434,174.29 = 4,546,775,508.19 : x - Step 2: Convert to fraction form
16,178,956,116.19/24,268,434,174.29 = 4,546,775,508.19/x - Step 3: Cross multiply
16,178,956,116.19x = 24,268,434,174.29 × 4,546,775,508.19 - Step 4: Simplify right side
16,178,956,116.19x = 110,343,122,125,731,397,632 - Step 5: Solve for x
x = 110,343,122,125,731,397,632/16,178,956,116.19 - Step 6: Final answer
x = 6,820,163,262.28
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1.5x scale
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.