Finding the Fourth Proportional to 2,163,159,210.78, 3,245,284,429.14 and 999,450,452.82
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Solution
The fourth proportional to 2,163,159,210.78, 3,245,284,429.14 and 999,450,452.82 is: 1,499,427,770.30
Step by Step Solution
- Step 1: Write the proportion equation
2,163,159,210.78 : 3,245,284,429.14 = 999,450,452.82 : x - Step 2: Convert to fraction form
2,163,159,210.78/3,245,284,429.14 = 999,450,452.82/x - Step 3: Cross multiply
2,163,159,210.78x = 3,245,284,429.14 × 999,450,452.82 - Step 4: Simplify right side
2,163,159,210.78x = 3,243,500,992,233,668,096 - Step 5: Solve for x
x = 3,243,500,992,233,668,096/2,163,159,210.78 - Step 6: Final answer
x = 1,499,427,770.30
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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.