Finding the Fourth Proportional to 1,530,461,313.16, 2,296,056,283.96 and 495,322,194.12
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Solution
The fourth proportional to 1,530,461,313.16, 2,296,056,283.96 and 495,322,194.12 is: 743,101,198.71
Step by Step Solution
- Step 1: Write the proportion equation
1,530,461,313.16 : 2,296,056,283.96 = 495,322,194.12 : x - Step 2: Convert to fraction form
1,530,461,313.16/2,296,056,283.96 = 495,322,194.12/x - Step 3: Cross multiply
1,530,461,313.16x = 2,296,056,283.96 × 495,322,194.12 - Step 4: Simplify right side
1,530,461,313.16x = 1,137,287,636,394,081,024 - Step 5: Solve for x
x = 1,137,287,636,394,081,024/1,530,461,313.16 - Step 6: Final answer
x = 743,101,198.71
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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.