Finding the Fourth Proportional to 265,980,281,575.88, 367,048,251,840.66 and 144,044,025,581
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Solution
The fourth proportional to 265,980,281,575.88, 367,048,251,840.66 and 144,044,025,581 is: 198,778,298,392.45
Step by Step Solution
- Step 1: Write the proportion equation
265,980,281,575.88 : 367,048,251,840.66 = 144,044,025,581 : x - Step 2: Convert to fraction form
265,980,281,575.88/367,048,251,840.66 = 144,044,025,581/x - Step 3: Cross multiply
265,980,281,575.88x = 367,048,251,840.66 × 144,044,025,581 - Step 4: Simplify right side
265,980,281,575.88x = 52,871,107,777,597,357,948,928 - Step 5: Solve for x
x = 52,871,107,777,597,357,948,928/265,980,281,575.88 - Step 6: Final answer
x = 198,778,298,392.45
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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.