Finding the Fourth Proportional to 1,631,794,720,992.10, 2,446,773,620,842.70 and 542,108,341,563.28
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Solution
The fourth proportional to 1,631,794,720,992.10, 2,446,773,620,842.70 and 542,108,341,563.28 is: 812,857,385,008.20
Step by Step Solution
- Step 1: Write the proportion equation
1,631,794,720,992.10 : 2,446,773,620,842.70 = 542,108,341,563.28 : x - Step 2: Convert to fraction form
1,631,794,720,992.10/2,446,773,620,842.70 = 542,108,341,563.28/x - Step 3: Cross multiply
1,631,794,720,992.10x = 2,446,773,620,842.70 × 542,108,341,563.28 - Step 4: Simplify right side
1,631,794,720,992.10x = 1,326,416,389,775,817,846,030,336 - Step 5: Solve for x
x = 1,326,416,389,775,817,846,030,336/1,631,794,720,992.10 - Step 6: Final answer
x = 812,857,385,008.20
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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.