Finding the Fourth Proportional to 211,175,177,581.93, 291,427,268,231.79 and 114,836,898,478.72
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Solution
The fourth proportional to 211,175,177,581.93, 291,427,268,231.79 and 114,836,898,478.72 is: 158,477,923,395.52
Step by Step Solution
- Step 1: Write the proportion equation
211,175,177,581.93 : 291,427,268,231.79 = 114,836,898,478.72 : x - Step 2: Convert to fraction form
211,175,177,581.93/291,427,268,231.79 = 114,836,898,478.72/x - Step 3: Cross multiply
211,175,177,581.93x = 291,427,268,231.79 × 114,836,898,478.72 - Step 4: Simplify right side
211,175,177,581.93x = 33,466,603,615,864,768,954,368 - Step 5: Solve for x
x = 33,466,603,615,864,768,954,368/211,175,177,581.93 - Step 6: Final answer
x = 158,477,923,395.52
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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.