Finding the Fourth Proportional to 10,216,402,289,944, 15,324,643,193,159 and 2,471,657,388,101.80
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Solution
The fourth proportional to 10,216,402,289,944, 15,324,643,193,159 and 2,471,657,388,101.80 is: 3,707,495,700,876.81
Step by Step Solution
- Step 1: Write the proportion equation
10,216,402,289,944 : 15,324,643,193,159 = 2,471,657,388,101.80 : x - Step 2: Convert to fraction form
10,216,402,289,944/15,324,643,193,159 = 2,471,657,388,101.80/x - Step 3: Cross multiply
10,216,402,289,944x = 15,324,643,193,159 × 2,471,657,388,101.80 - Step 4: Simplify right side
10,216,402,289,944x = 37,877,267,568,395,398,500,319,232 - Step 5: Solve for x
x = 37,877,267,568,395,398,500,319,232/10,216,402,289,944 - Step 6: Final answer
x = 3,707,495,700,876.81
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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.