Finding the Fourth Proportional to 180,920,306,277.10, 271,380,459,415.65 and 165,247,473,457.90
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Solution
The fourth proportional to 180,920,306,277.10, 271,380,459,415.65 and 165,247,473,457.90 is: 247,871,210,186.85
Step by Step Solution
- Step 1: Write the proportion equation
180,920,306,277.10 : 271,380,459,415.65 = 165,247,473,457.90 : x - Step 2: Convert to fraction form
180,920,306,277.10/271,380,459,415.65 = 165,247,473,457.90/x - Step 3: Cross multiply
180,920,306,277.10x = 271,380,459,415.65 × 165,247,473,457.90 - Step 4: Simplify right side
180,920,306,277.10x = 44,844,935,264,280,332,206,080 - Step 5: Solve for x
x = 44,844,935,264,280,332,206,080/180,920,306,277.10 - Step 6: Final answer
x = 247,871,210,186.85
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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.