Finding the Fourth Proportional to 1,901,014,794,232.40, 2,852,695,076,946.50 and 880,942,193,168.05
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Solution
The fourth proportional to 1,901,014,794,232.40, 2,852,695,076,946.50 and 880,942,193,168.05 is: 1,321,956,812,303.34
Step by Step Solution
- Step 1: Write the proportion equation
1,901,014,794,232.40 : 2,852,695,076,946.50 = 880,942,193,168.05 : x - Step 2: Convert to fraction form
1,901,014,794,232.40/2,852,695,076,946.50 = 880,942,193,168.05/x - Step 3: Cross multiply
1,901,014,794,232.40x = 2,852,695,076,946.50 × 880,942,193,168.05 - Step 4: Simplify right side
1,901,014,794,232.40x = 2,513,059,457,524,949,239,988,224 - Step 5: Solve for x
x = 2,513,059,457,524,949,239,988,224/1,901,014,794,232.40 - Step 6: Final answer
x = 1,321,956,812,303.34
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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.