Finding the Fourth Proportional to 3,653,825,201.12, 5,042,283,643.12 and 1,983,074,342.24
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Solution
The fourth proportional to 3,653,825,201.12, 5,042,283,643.12 and 1,983,074,342.24 is: 2,736,645,233.03
Step by Step Solution
- Step 1: Write the proportion equation
3,653,825,201.12 : 5,042,283,643.12 = 1,983,074,342.24 : x - Step 2: Convert to fraction form
3,653,825,201.12/5,042,283,643.12 = 1,983,074,342.24/x - Step 3: Cross multiply
3,653,825,201.12x = 5,042,283,643.12 × 1,983,074,342.24 - Step 4: Simplify right side
3,653,825,201.12x = 9,999,223,318,967,705,600 - Step 5: Solve for x
x = 9,999,223,318,967,705,600/3,653,825,201.12 - Step 6: Final answer
x = 2,736,645,233.03
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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.