Finding the Fourth Proportional to 1,566,672,779,257.60, 2,351,082,620,047.30 and 546,790,313,178.93
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Solution
The fourth proportional to 1,566,672,779,257.60, 2,351,082,620,047.30 and 546,790,313,178.93 is: 820,560,118,963.95
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,257.60 : 2,351,082,620,047.30 = 546,790,313,178.93 : x - Step 2: Convert to fraction form
1,566,672,779,257.60/2,351,082,620,047.30 = 546,790,313,178.93/x - Step 3: Cross multiply
1,566,672,779,257.60x = 2,351,082,620,047.30 × 546,790,313,178.93 - Step 4: Simplify right side
1,566,672,779,257.60x = 1,285,549,202,125,202,202,296,320 - Step 5: Solve for x
x = 1,285,549,202,125,202,202,296,320/1,566,672,779,257.60 - Step 6: Final answer
x = 820,560,118,963.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.