Finding the Fourth Proportional to 1,566,672,779,227.60, 2,351,082,620,002.70 and 546,790,313,148.55
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Solution
The fourth proportional to 1,566,672,779,227.60, 2,351,082,620,002.70 and 546,790,313,148.55 is: 820,560,118,918.51
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,227.60 : 2,351,082,620,002.70 = 546,790,313,148.55 : x - Step 2: Convert to fraction form
1,566,672,779,227.60/2,351,082,620,002.70 = 546,790,313,148.55/x - Step 3: Cross multiply
1,566,672,779,227.60x = 2,351,082,620,002.70 × 546,790,313,148.55 - Step 4: Simplify right side
1,566,672,779,227.60x = 1,285,549,202,029,389,803,421,696 - Step 5: Solve for x
x = 1,285,549,202,029,389,803,421,696/1,566,672,779,227.60 - Step 6: Final answer
x = 820,560,118,918.51
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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.