Finding the Fourth Proportional to 58,662,046,927,750, 80,949,977,199,022 and 32,322,555,579,846
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Solution
The fourth proportional to 58,662,046,927,750, 80,949,977,199,022 and 32,322,555,579,846 is: 44,603,116,908,368.89
Step by Step Solution
- Step 1: Write the proportion equation
58,662,046,927,750 : 80,949,977,199,022 = 32,322,555,579,846 : x - Step 2: Convert to fraction form
58,662,046,927,750/80,949,977,199,022 = 32,322,555,579,846/x - Step 3: Cross multiply
58,662,046,927,750x = 80,949,977,199,022 × 32,322,555,579,846 - Step 4: Simplify right side
58,662,046,927,750x = 2,616,510,137,202,655,268,867,932,160 - Step 5: Solve for x
x = 2,616,510,137,202,655,268,867,932,160/58,662,046,927,750 - Step 6: Final answer
x = 44,603,116,908,368.89
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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.