Finding the Fourth Proportional to 242,174,413,162, 363,177,497,033.70 and 134,772,584,193.06
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Solution
The fourth proportional to 242,174,413,162, 363,177,497,033.70 and 134,772,584,193.06 is: 202,112,061,125.37
Step by Step Solution
- Step 1: Write the proportion equation
242,174,413,162 : 363,177,497,033.70 = 134,772,584,193.06 : x - Step 2: Convert to fraction form
242,174,413,162/363,177,497,033.70 = 134,772,584,193.06/x - Step 3: Cross multiply
242,174,413,162x = 363,177,497,033.70 × 134,772,584,193.06 - Step 4: Simplify right side
242,174,413,162x = 48,946,369,795,999,129,403,392 - Step 5: Solve for x
x = 48,946,369,795,999,129,403,392/242,174,413,162 - Step 6: Final answer
x = 202,112,061,125.37
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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.