Finding the Fourth Proportional to 454,846,225,137.64, 682,311,279,872.88 and 148,537,610,544.20
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Solution
The fourth proportional to 454,846,225,137.64, 682,311,279,872.88 and 148,537,610,544.20 is: 222,820,112,729.32
Step by Step Solution
- Step 1: Write the proportion equation
454,846,225,137.64 : 682,311,279,872.88 = 148,537,610,544.20 : x - Step 2: Convert to fraction form
454,846,225,137.64/682,311,279,872.88 = 148,537,610,544.20/x - Step 3: Cross multiply
454,846,225,137.64x = 682,311,279,872.88 × 148,537,610,544.20 - Step 4: Simplify right side
454,846,225,137.64x = 101,348,887,159,672,508,776,448 - Step 5: Solve for x
x = 101,348,887,159,672,508,776,448/454,846,225,137.64 - Step 6: Final answer
x = 222,820,112,729.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.