Finding the Fourth Proportional to 1,566,672,772,823.60, 2,351,082,610,402.70 and 546,790,306,749.95
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Solution
The fourth proportional to 1,566,672,772,823.60, 2,351,082,610,402.70 and 546,790,306,749.95 is: 820,560,109,319.85
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,772,823.60 : 2,351,082,610,402.70 = 546,790,306,749.95 : x - Step 2: Convert to fraction form
1,566,672,772,823.60/2,351,082,610,402.70 = 546,790,306,749.95/x - Step 3: Cross multiply
1,566,672,772,823.60x = 2,351,082,610,402.70 × 546,790,306,749.95 - Step 4: Simplify right side
1,566,672,772,823.60x = 1,285,549,181,736,565,635,809,280 - Step 5: Solve for x
x = 1,285,549,181,736,565,635,809,280/1,566,672,772,823.60 - Step 6: Final answer
x = 820,560,109,319.85
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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.