Finding the Fourth Proportional to 98,375,164,587.42, 135,757,791,207.99 and 53,264,921,983.26
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Solution
The fourth proportional to 98,375,164,587.42, 135,757,791,207.99 and 53,264,921,983.26 is: 73,505,627,031.38
Step by Step Solution
- Step 1: Write the proportion equation
98,375,164,587.42 : 135,757,791,207.99 = 53,264,921,983.26 : x - Step 2: Convert to fraction form
98,375,164,587.42/135,757,791,207.99 = 53,264,921,983.26/x - Step 3: Cross multiply
98,375,164,587.42x = 135,757,791,207.99 × 53,264,921,983.26 - Step 4: Simplify right side
98,375,164,587.42x = 7,231,128,157,313,287,847,936 - Step 5: Solve for x
x = 7,231,128,157,313,287,847,936/98,375,164,587.42 - Step 6: Final answer
x = 73,505,627,031.38
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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.