Finding the Fourth Proportional to 477,676,136,944.16, 716,614,835,584.80 and 154,953,751,536.80
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Solution
The fourth proportional to 477,676,136,944.16, 716,614,835,584.80 and 154,953,751,536.80 is: 232,463,270,807.63
Step by Step Solution
- Step 1: Write the proportion equation
477,676,136,944.16 : 716,614,835,584.80 = 154,953,751,536.80 : x - Step 2: Convert to fraction form
477,676,136,944.16/716,614,835,584.80 = 154,953,751,536.80/x - Step 3: Cross multiply
477,676,136,944.16x = 716,614,835,584.80 × 154,953,751,536.80 - Step 4: Simplify right side
477,676,136,944.16x = 111,042,157,180,791,874,912,256 - Step 5: Solve for x
x = 111,042,157,180,791,874,912,256/477,676,136,944.16 - Step 6: Final answer
x = 232,463,270,807.63
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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.