Finding the Fourth Proportional to 1,566,672,779,209.90, 2,351,082,619,976 and 546,790,313,130.75
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Solution
The fourth proportional to 1,566,672,779,209.90, 2,351,082,619,976 and 546,790,313,130.75 is: 820,560,118,891.75
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,209.90 : 2,351,082,619,976 = 546,790,313,130.75 : x - Step 2: Convert to fraction form
1,566,672,779,209.90/2,351,082,619,976 = 546,790,313,130.75/x - Step 3: Cross multiply
1,566,672,779,209.90x = 2,351,082,619,976 × 546,790,313,130.75 - Step 4: Simplify right side
1,566,672,779,209.90x = 1,285,549,201,972,941,048,250,368 - Step 5: Solve for x
x = 1,285,549,201,972,941,048,250,368/1,566,672,779,209.90 - Step 6: Final answer
x = 820,560,118,891.75
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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.