Finding the Fourth Proportional to 5,197,897,147.85, 7,796,833,596.91 and 3,414,368,748.14
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Solution
The fourth proportional to 5,197,897,147.85, 7,796,833,596.91 and 3,414,368,748.14 is: 5,121,545,157.70
Step by Step Solution
- Step 1: Write the proportion equation
5,197,897,147.85 : 7,796,833,596.91 = 3,414,368,748.14 : x - Step 2: Convert to fraction form
5,197,897,147.85/7,796,833,596.91 = 3,414,368,748.14/x - Step 3: Cross multiply
5,197,897,147.85x = 7,796,833,596.91 × 3,414,368,748.14 - Step 4: Simplify right side
5,197,897,147.85x = 26,621,264,967,779,794,944 - Step 5: Solve for x
x = 26,621,264,967,779,794,944/5,197,897,147.85 - Step 6: Final answer
x = 5,121,545,157.70
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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.