Finding the Fourth Proportional to 1,566,672,779,213, 2,351,082,619,980.30 and 546,790,313,133.93
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Solution
The fourth proportional to 1,566,672,779,213, 2,351,082,619,980.30 and 546,790,313,133.93 is: 820,560,118,896.40
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,213 : 2,351,082,619,980.30 = 546,790,313,133.93 : x - Step 2: Convert to fraction form
1,566,672,779,213/2,351,082,619,980.30 = 546,790,313,133.93/x - Step 3: Cross multiply
1,566,672,779,213x = 2,351,082,619,980.30 × 546,790,313,133.93 - Step 4: Simplify right side
1,566,672,779,213x = 1,285,549,201,982,768,738,729,984 - Step 5: Solve for x
x = 1,285,549,201,982,768,738,729,984/1,566,672,779,213 - Step 6: Final answer
x = 820,560,118,896.40
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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.