Finding the Fourth Proportional to 77,231,176,228.14, 115,784,276,328.45 and 24,144,897,008.94
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Solution
The fourth proportional to 77,231,176,228.14, 115,784,276,328.45 and 24,144,897,008.94 is: 36,197,809,793.12
Step by Step Solution
- Step 1: Write the proportion equation
77,231,176,228.14 : 115,784,276,328.45 = 24,144,897,008.94 : x - Step 2: Convert to fraction form
77,231,176,228.14/115,784,276,328.45 = 24,144,897,008.94/x - Step 3: Cross multiply
77,231,176,228.14x = 115,784,276,328.45 × 24,144,897,008.94 - Step 4: Simplify right side
77,231,176,228.14x = 2,795,599,427,205,074,518,016 - Step 5: Solve for x
x = 2,795,599,427,205,074,518,016/77,231,176,228.14 - Step 6: Final answer
x = 36,197,809,793.12
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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.