Finding the Fourth Proportional to 786,154,027,267.12, 1,179,348,950,190.20 and 276,122,898,644.88
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Solution
The fourth proportional to 786,154,027,267.12, 1,179,348,950,190.20 and 276,122,898,644.88 is: 414,225,761,549.99
Step by Step Solution
- Step 1: Write the proportion equation
786,154,027,267.12 : 1,179,348,950,190.20 = 276,122,898,644.88 : x - Step 2: Convert to fraction form
786,154,027,267.12/1,179,348,950,190.20 = 276,122,898,644.88/x - Step 3: Cross multiply
786,154,027,267.12x = 1,179,348,950,190.20 × 276,122,898,644.88 - Step 4: Simplify right side
786,154,027,267.12x = 325,645,250,640,314,227,490,816 - Step 5: Solve for x
x = 325,645,250,640,314,227,490,816/786,154,027,267.12 - Step 6: Final answer
x = 414,225,761,549.99
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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.