Finding the Fourth Proportional to 27,368,684,576,390, 37,772,022,590,230 and 16,257,377,400,768
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Solution
The fourth proportional to 27,368,684,576,390, 37,772,022,590,230 and 16,257,377,400,768 is: 22,437,104,155,507.85
Step by Step Solution
- Step 1: Write the proportion equation
27,368,684,576,390 : 37,772,022,590,230 = 16,257,377,400,768 : x - Step 2: Convert to fraction form
27,368,684,576,390/37,772,022,590,230 = 16,257,377,400,768/x - Step 3: Cross multiply
27,368,684,576,390x = 37,772,022,590,230 × 16,257,377,400,768 - Step 4: Simplify right side
27,368,684,576,390x = 614,074,026,439,703,558,310,854,656 - Step 5: Solve for x
x = 614,074,026,439,703,558,310,854,656/27,368,684,576,390 - Step 6: Final answer
x = 22,437,104,155,507.85
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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.