Finding the Fourth Proportional to 196,139,588,330.12, 294,209,386,383.18 and 47,079,555,176.84
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Solution
The fourth proportional to 196,139,588,330.12, 294,209,386,383.18 and 47,079,555,176.84 is: 70,619,333,698.50
Step by Step Solution
- Step 1: Write the proportion equation
196,139,588,330.12 : 294,209,386,383.18 = 47,079,555,176.84 : x - Step 2: Convert to fraction form
196,139,588,330.12/294,209,386,383.18 = 47,079,555,176.84/x - Step 3: Cross multiply
196,139,588,330.12x = 294,209,386,383.18 × 47,079,555,176.84 - Step 4: Simplify right side
196,139,588,330.12x = 13,851,247,039,771,161,133,056 - Step 5: Solve for x
x = 13,851,247,039,771,161,133,056/196,139,588,330.12 - Step 6: Final answer
x = 70,619,333,698.50
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1.5x scale
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.