Finding the Fourth Proportional to 10,248,416,890,772, 14,143,223,066,174 and 5,624,074,528,544
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Solution
The fourth proportional to 10,248,416,890,772, 14,143,223,066,174 and 5,624,074,528,544 is: 7,761,446,616,170.33
Step by Step Solution
- Step 1: Write the proportion equation
10,248,416,890,772 : 14,143,223,066,174 = 5,624,074,528,544 : x - Step 2: Convert to fraction form
10,248,416,890,772/14,143,223,066,174 = 5,624,074,528,544/x - Step 3: Cross multiply
10,248,416,890,772x = 14,143,223,066,174 × 5,624,074,528,544 - Step 4: Simplify right side
10,248,416,890,772x = 79,542,540,597,985,173,699,559,424 - Step 5: Solve for x
x = 79,542,540,597,985,173,699,559,424/10,248,416,890,772 - Step 6: Final answer
x = 7,761,446,616,170.33
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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.