Finding the Fourth Proportional to 3,885,653,200.11, 5,362,201,278.68 and 2,101,506,609.99
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Solution
The fourth proportional to 3,885,653,200.11, 5,362,201,278.68 and 2,101,506,609.99 is: 2,900,079,047.43
Step by Step Solution
- Step 1: Write the proportion equation
3,885,653,200.11 : 5,362,201,278.68 = 2,101,506,609.99 : x - Step 2: Convert to fraction form
3,885,653,200.11/5,362,201,278.68 = 2,101,506,609.99/x - Step 3: Cross multiply
3,885,653,200.11x = 5,362,201,278.68 × 2,101,506,609.99 - Step 4: Simplify right side
3,885,653,200.11x = 11,268,701,431,232,342,016 - Step 5: Solve for x
x = 11,268,701,431,232,342,016/3,885,653,200.11 - Step 6: Final answer
x = 2,900,079,047.43
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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.