Finding the Fourth Proportional to 4,294,391,401,514, 5,926,386,081,683.20 and 2,343,553,112,697.80
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Solution
The fourth proportional to 4,294,391,401,514, 5,926,386,081,683.20 and 2,343,553,112,697.80 is: 3,234,172,028,167.03
Step by Step Solution
- Step 1: Write the proportion equation
4,294,391,401,514 : 5,926,386,081,683.20 = 2,343,553,112,697.80 : x - Step 2: Convert to fraction form
4,294,391,401,514/5,926,386,081,683.20 = 2,343,553,112,697.80/x - Step 3: Cross multiply
4,294,391,401,514x = 5,926,386,081,683.20 × 2,343,553,112,697.80 - Step 4: Simplify right side
4,294,391,401,514x = 13,888,800,548,777,581,390,856,192 - Step 5: Solve for x
x = 13,888,800,548,777,581,390,856,192/4,294,391,401,514 - Step 6: Final answer
x = 3,234,172,028,167.03
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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.