Finding the Fourth Proportional to 204,073,669,336.90, 306,110,504,005.35 and 137,464,129,855.30
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Solution
The fourth proportional to 204,073,669,336.90, 306,110,504,005.35 and 137,464,129,855.30 is: 206,196,194,782.95
Step by Step Solution
- Step 1: Write the proportion equation
204,073,669,336.90 : 306,110,504,005.35 = 137,464,129,855.30 : x - Step 2: Convert to fraction form
204,073,669,336.90/306,110,504,005.35 = 137,464,129,855.30/x - Step 3: Cross multiply
204,073,669,336.90x = 306,110,504,005.35 × 137,464,129,855.30 - Step 4: Simplify right side
204,073,669,336.90x = 42,079,214,072,662,759,309,312 - Step 5: Solve for x
x = 42,079,214,072,662,759,309,312/204,073,669,336.90 - Step 6: Final answer
x = 206,196,194,782.95
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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.