Finding the Fourth Proportional to 2,105,771,343.84, 3,157,476,166.08 and 1,442,534,725.44
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Solution
The fourth proportional to 2,105,771,343.84, 3,157,476,166.08 and 1,442,534,725.44 is: 2,162,993,160.51
Step by Step Solution
- Step 1: Write the proportion equation
2,105,771,343.84 : 3,157,476,166.08 = 1,442,534,725.44 : x - Step 2: Convert to fraction form
2,105,771,343.84/3,157,476,166.08 = 1,442,534,725.44/x - Step 3: Cross multiply
2,105,771,343.84x = 3,157,476,166.08 × 1,442,534,725.44 - Step 4: Simplify right side
2,105,771,343.84x = 4,554,769,014,319,556,608 - Step 5: Solve for x
x = 4,554,769,014,319,556,608/2,105,771,343.84 - Step 6: Final answer
x = 2,162,993,160.51
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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.