Finding the Fourth Proportional to 273,400,232,700.16, 410,218,201,405.44 and 147,605,852,177.92
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Solution
The fourth proportional to 273,400,232,700.16, 410,218,201,405.44 and 147,605,852,177.92 is: 221,472,405,488.95
Step by Step Solution
- Step 1: Write the proportion equation
273,400,232,700.16 : 410,218,201,405.44 = 147,605,852,177.92 : x - Step 2: Convert to fraction form
273,400,232,700.16/410,218,201,405.44 = 147,605,852,177.92/x - Step 3: Cross multiply
273,400,232,700.16x = 410,218,201,405.44 × 147,605,852,177.92 - Step 4: Simplify right side
273,400,232,700.16x = 60,550,607,197,343,596,937,216 - Step 5: Solve for x
x = 60,550,607,197,343,596,937,216/273,400,232,700.16 - Step 6: Final answer
x = 221,472,405,488.95
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1.5x scale
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.