Finding the Fourth Proportional to 1,820,586,010.24, 2,511,793,670.70 and 1,185,217,195.60
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Solution
The fourth proportional to 1,820,586,010.24, 2,511,793,670.70 and 1,185,217,195.60 is: 1,635,199,344.37
Step by Step Solution
- Step 1: Write the proportion equation
1,820,586,010.24 : 2,511,793,670.70 = 1,185,217,195.60 : x - Step 2: Convert to fraction form
1,820,586,010.24/2,511,793,670.70 = 1,185,217,195.60/x - Step 3: Cross multiply
1,820,586,010.24x = 2,511,793,670.70 × 1,185,217,195.60 - Step 4: Simplify right side
1,820,586,010.24x = 2,977,021,050,312,883,200 - Step 5: Solve for x
x = 2,977,021,050,312,883,200/1,820,586,010.24 - Step 6: Final answer
x = 1,635,199,344.37
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.