Finding the Fourth Proportional to 4,166,644,207.84, 5,749,974,700.80 and 2,261,405,712.56
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Solution
The fourth proportional to 4,166,644,207.84, 5,749,974,700.80 and 2,261,405,712.56 is: 3,120,742,973.69
Step by Step Solution
- Step 1: Write the proportion equation
4,166,644,207.84 : 5,749,974,700.80 = 2,261,405,712.56 : x - Step 2: Convert to fraction form
4,166,644,207.84/5,749,974,700.80 = 2,261,405,712.56/x - Step 3: Cross multiply
4,166,644,207.84x = 5,749,974,700.80 × 2,261,405,712.56 - Step 4: Simplify right side
4,166,644,207.84x = 13,003,025,635,464,597,504 - Step 5: Solve for x
x = 13,003,025,635,464,597,504/4,166,644,207.84 - Step 6: Final answer
x = 3,120,742,973.69
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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.