Finding the Fourth Proportional to 1,491,077,283,354.20, 2,236,602,435,057.60 and 471,194,985,078.90
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Solution
The fourth proportional to 1,491,077,283,354.20, 2,236,602,435,057.60 and 471,194,985,078.90 is: 706,788,214,654.90
Step by Step Solution
- Step 1: Write the proportion equation
1,491,077,283,354.20 : 2,236,602,435,057.60 = 471,194,985,078.90 : x - Step 2: Convert to fraction form
1,491,077,283,354.20/2,236,602,435,057.60 = 471,194,985,078.90/x - Step 3: Cross multiply
1,491,077,283,354.20x = 2,236,602,435,057.60 × 471,194,985,078.90 - Step 4: Simplify right side
1,491,077,283,354.20x = 1,053,875,851,014,397,354,835,968 - Step 5: Solve for x
x = 1,053,875,851,014,397,354,835,968/1,491,077,283,354.20 - Step 6: Final answer
x = 706,788,214,654.90
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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.