Finding the Fourth Proportional to 1,566,672,779,201.60, 2,351,082,619,963.80 and 546,790,313,122.60
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Solution
The fourth proportional to 1,566,672,779,201.60, 2,351,082,619,963.80 and 546,790,313,122.60 is: 820,560,118,879.61
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,201.60 : 2,351,082,619,963.80 = 546,790,313,122.60 : x - Step 2: Convert to fraction form
1,566,672,779,201.60/2,351,082,619,963.80 = 546,790,313,122.60/x - Step 3: Cross multiply
1,566,672,779,201.60x = 2,351,082,619,963.80 × 546,790,313,122.60 - Step 4: Simplify right side
1,566,672,779,201.60x = 1,285,549,201,947,108,699,013,120 - Step 5: Solve for x
x = 1,285,549,201,947,108,699,013,120/1,566,672,779,201.60 - Step 6: Final answer
x = 820,560,118,879.61
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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.