Finding the Fourth Proportional to 197,339,411,643.70, 295,499,322,139.36 and 136,196,860,296.81
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Solution
The fourth proportional to 197,339,411,643.70, 295,499,322,139.36 and 136,196,860,296.81 is: 203,943,447,281.99
Step by Step Solution
- Step 1: Write the proportion equation
197,339,411,643.70 : 295,499,322,139.36 = 136,196,860,296.81 : x - Step 2: Convert to fraction form
197,339,411,643.70/295,499,322,139.36 = 136,196,860,296.81/x - Step 3: Cross multiply
197,339,411,643.70x = 295,499,322,139.36 × 136,196,860,296.81 - Step 4: Simplify right side
197,339,411,643.70x = 40,246,079,895,216,469,311,488 - Step 5: Solve for x
x = 40,246,079,895,216,469,311,488/197,339,411,643.70 - Step 6: Final answer
x = 203,943,447,281.99
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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.