Finding the Fourth Proportional to 4,166,835,315.98, 5,750,239,035.51 and 2,261,597,475.56
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Solution
The fourth proportional to 4,166,835,315.98, 5,750,239,035.51 and 2,261,597,475.56 is: 3,121,007,935.37
Step by Step Solution
- Step 1: Write the proportion equation
4,166,835,315.98 : 5,750,239,035.51 = 2,261,597,475.56 : x - Step 2: Convert to fraction form
4,166,835,315.98/5,750,239,035.51 = 2,261,597,475.56/x - Step 3: Cross multiply
4,166,835,315.98x = 5,750,239,035.51 × 2,261,597,475.56 - Step 4: Simplify right side
4,166,835,315.98x = 13,004,726,086,547,232,768 - Step 5: Solve for x
x = 13,004,726,086,547,232,768/4,166,835,315.98 - Step 6: Final answer
x = 3,121,007,935.37
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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.