Finding the Fourth Proportional to 48,281,233,146.16, 66,626,925,822.84 and 26,579,199,193.24
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Solution
The fourth proportional to 48,281,233,146.16, 66,626,925,822.84 and 26,579,199,193.24 is: 36,678,647,534.07
Step by Step Solution
- Step 1: Write the proportion equation
48,281,233,146.16 : 66,626,925,822.84 = 26,579,199,193.24 : x - Step 2: Convert to fraction form
48,281,233,146.16/66,626,925,822.84 = 26,579,199,193.24/x - Step 3: Cross multiply
48,281,233,146.16x = 66,626,925,822.84 × 26,579,199,193.24 - Step 4: Simplify right side
48,281,233,146.16x = 1,770,890,333,078,490,185,728 - Step 5: Solve for x
x = 1,770,890,333,078,490,185,728/48,281,233,146.16 - Step 6: Final answer
x = 36,678,647,534.07
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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.