Finding the Fourth Proportional to 302,129,035,903.64, 416,935,910,859.16 and 164,951,857,653.13
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Solution
The fourth proportional to 302,129,035,903.64, 416,935,910,859.16 and 164,951,857,653.13 is: 227,632,384,993.45
Step by Step Solution
- Step 1: Write the proportion equation
302,129,035,903.64 : 416,935,910,859.16 = 164,951,857,653.13 : x - Step 2: Convert to fraction form
302,129,035,903.64/416,935,910,859.16 = 164,951,857,653.13/x - Step 3: Cross multiply
302,129,035,903.64x = 416,935,910,859.16 × 164,951,857,653.13 - Step 4: Simplify right side
302,129,035,903.64x = 68,774,353,018,518,253,862,912 - Step 5: Solve for x
x = 68,774,353,018,518,253,862,912/302,129,035,903.64 - Step 6: Final answer
x = 227,632,384,993.45
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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.