Finding the Fourth Proportional to 1,566,672,779,201.10, 2,351,082,619,962.80 and 546,790,313,122.10
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Solution
The fourth proportional to 1,566,672,779,201.10, 2,351,082,619,962.80 and 546,790,313,122.10 is: 820,560,118,878.77
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,201.10 : 2,351,082,619,962.80 = 546,790,313,122.10 : x - Step 2: Convert to fraction form
1,566,672,779,201.10/2,351,082,619,962.80 = 546,790,313,122.10/x - Step 3: Cross multiply
1,566,672,779,201.10x = 2,351,082,619,962.80 × 546,790,313,122.10 - Step 4: Simplify right side
1,566,672,779,201.10x = 1,285,549,201,945,386,417,127,424 - Step 5: Solve for x
x = 1,285,549,201,945,386,417,127,424/1,566,672,779,201.10 - Step 6: Final answer
x = 820,560,118,878.77
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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.