Finding the Fourth Proportional to 4,846,242,734.28, 7,270,115,702.94 and 2,048,223,058.12
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Solution
The fourth proportional to 4,846,242,734.28, 7,270,115,702.94 and 2,048,223,058.12 is: 3,072,652,245.14
Step by Step Solution
- Step 1: Write the proportion equation
4,846,242,734.28 : 7,270,115,702.94 = 2,048,223,058.12 : x - Step 2: Convert to fraction form
4,846,242,734.28/7,270,115,702.94 = 2,048,223,058.12/x - Step 3: Cross multiply
4,846,242,734.28x = 7,270,115,702.94 × 2,048,223,058.12 - Step 4: Simplify right side
4,846,242,734.28x = 14,890,818,617,961,998,336 - Step 5: Solve for x
x = 14,890,818,617,961,998,336/4,846,242,734.28 - Step 6: Final answer
x = 3,072,652,245.14
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1.5x scale
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.