Finding the Fourth Proportional to 6,157,456,241.98, 8,497,356,495.35 and 3,617,245,274.21
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Solution
The fourth proportional to 6,157,456,241.98, 8,497,356,495.35 and 3,617,245,274.21 is: 4,991,837,768.42
Step by Step Solution
- Step 1: Write the proportion equation
6,157,456,241.98 : 8,497,356,495.35 = 3,617,245,274.21 : x - Step 2: Convert to fraction form
6,157,456,241.98/8,497,356,495.35 = 3,617,245,274.21/x - Step 3: Cross multiply
6,157,456,241.98x = 8,497,356,495.35 × 3,617,245,274.21 - Step 4: Simplify right side
6,157,456,241.98x = 30,737,022,626,082,435,072 - Step 5: Solve for x
x = 30,737,022,626,082,435,072/6,157,456,241.98 - Step 6: Final answer
x = 4,991,837,768.42
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1.5x scale
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.