Finding the Fourth Proportional to 196,750,263,804.42, 271,515,492,162.80 and 106,529,778,544.26
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Solution
The fourth proportional to 196,750,263,804.42, 271,515,492,162.80 and 106,529,778,544.26 is: 147,011,163,757.28
Step by Step Solution
- Step 1: Write the proportion equation
196,750,263,804.42 : 271,515,492,162.80 = 106,529,778,544.26 : x - Step 2: Convert to fraction form
196,750,263,804.42/271,515,492,162.80 = 106,529,778,544.26/x - Step 3: Cross multiply
196,750,263,804.42x = 271,515,492,162.80 × 106,529,778,544.26 - Step 4: Simplify right side
196,750,263,804.42x = 28,924,485,251,438,844,313,600 - Step 5: Solve for x
x = 28,924,485,251,438,844,313,600/196,750,263,804.42 - Step 6: Final answer
x = 147,011,163,757.28
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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.