Finding the Fourth Proportional to 362,114,513,768.84, 496,099,293,339.97 and 348,542,186,324.36
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Solution
The fourth proportional to 362,114,513,768.84, 496,099,293,339.97 and 348,542,186,324.36 is: 477,505,114,432.01
Step by Step Solution
- Step 1: Write the proportion equation
362,114,513,768.84 : 496,099,293,339.97 = 348,542,186,324.36 : x - Step 2: Convert to fraction form
362,114,513,768.84/496,099,293,339.97 = 348,542,186,324.36/x - Step 3: Cross multiply
362,114,513,768.84x = 496,099,293,339.97 × 348,542,186,324.36 - Step 4: Simplify right side
362,114,513,768.84x = 172,911,532,334,683,130,953,728 - Step 5: Solve for x
x = 172,911,532,334,683,130,953,728/362,114,513,768.84 - Step 6: Final answer
x = 477,505,114,432.01
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.