Finding the Fourth Proportional to 7,804,750,693,083.20, 10,770,846,630,138 and 4,680,191,911,951.20
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Solution
The fourth proportional to 7,804,750,693,083.20, 10,770,846,630,138 and 4,680,191,911,951.20 is: 6,458,839,143,691.45
Step by Step Solution
- Step 1: Write the proportion equation
7,804,750,693,083.20 : 10,770,846,630,138 = 4,680,191,911,951.20 : x - Step 2: Convert to fraction form
7,804,750,693,083.20/10,770,846,630,138 = 4,680,191,911,951.20/x - Step 3: Cross multiply
7,804,750,693,083.20x = 10,770,846,630,138 × 4,680,191,911,951.20 - Step 4: Simplify right side
7,804,750,693,083.20x = 50,409,629,283,238,711,870,357,504 - Step 5: Solve for x
x = 50,409,629,283,238,711,870,357,504/7,804,750,693,083.20 - Step 6: Final answer
x = 6,458,839,143,691.45
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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.