Finding the Fourth Proportional to 10,369,023,257.44, 14,309,288,225.04 and 5,611,297,939.84
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Solution
The fourth proportional to 10,369,023,257.44, 14,309,288,225.04 and 5,611,297,939.84 is: 7,743,610,708.96
Step by Step Solution
- Step 1: Write the proportion equation
10,369,023,257.44 : 14,309,288,225.04 = 5,611,297,939.84 : x - Step 2: Convert to fraction form
10,369,023,257.44/14,309,288,225.04 = 5,611,297,939.84/x - Step 3: Cross multiply
10,369,023,257.44x = 14,309,288,225.04 × 5,611,297,939.84 - Step 4: Simplify right side
10,369,023,257.44x = 80,293,679,537,743,724,544 - Step 5: Solve for x
x = 80,293,679,537,743,724,544/10,369,023,257.44 - Step 6: Final answer
x = 7,743,610,708.96
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1.5x scale
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.