Finding the Fourth Proportional to 36,980,648,671,302, 51,033,414,414,426 and 20,537,954,094,298
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Solution
The fourth proportional to 36,980,648,671,302, 51,033,414,414,426 and 20,537,954,094,298 is: 28,342,442,876,945.49
Step by Step Solution
- Step 1: Write the proportion equation
36,980,648,671,302 : 51,033,414,414,426 = 20,537,954,094,298 : x - Step 2: Convert to fraction form
36,980,648,671,302/51,033,414,414,426 = 20,537,954,094,298/x - Step 3: Cross multiply
36,980,648,671,302x = 51,033,414,414,426 × 20,537,954,094,298 - Step 4: Simplify right side
36,980,648,671,302x = 1,048,121,922,518,767,065,699,975,168 - Step 5: Solve for x
x = 1,048,121,922,518,767,065,699,975,168/36,980,648,671,302 - Step 6: Final answer
x = 28,342,442,876,945.49
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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.