Finding the Fourth Proportional to 1,566,672,779,179.70, 2,351,082,619,930.70 and 546,790,313,100.73
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Solution
The fourth proportional to 1,566,672,779,179.70, 2,351,082,619,930.70 and 546,790,313,100.73 is: 820,560,118,846.71
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,179.70 : 2,351,082,619,930.70 = 546,790,313,100.73 : x - Step 2: Convert to fraction form
1,566,672,779,179.70/2,351,082,619,930.70 = 546,790,313,100.73/x - Step 3: Cross multiply
1,566,672,779,179.70x = 2,351,082,619,930.70 × 546,790,313,100.73 - Step 4: Simplify right side
1,566,672,779,179.70x = 1,285,549,201,877,592,237,408,256 - Step 5: Solve for x
x = 1,285,549,201,877,592,237,408,256/1,566,672,779,179.70 - Step 6: Final answer
x = 820,560,118,846.71
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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.