Finding the Fourth Proportional to 174,484,025,770.02, 261,359,512,964.05 and 110,708,544,000.85
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Solution
The fourth proportional to 174,484,025,770.02, 261,359,512,964.05 and 110,708,544,000.85 is: 165,830,258,749.07
Step by Step Solution
- Step 1: Write the proportion equation
174,484,025,770.02 : 261,359,512,964.05 = 110,708,544,000.85 : x - Step 2: Convert to fraction form
174,484,025,770.02/261,359,512,964.05 = 110,708,544,000.85/x - Step 3: Cross multiply
174,484,025,770.02x = 261,359,512,964.05 × 110,708,544,000.85 - Step 4: Simplify right side
174,484,025,770.02x = 28,934,731,141,021,255,598,080 - Step 5: Solve for x
x = 28,934,731,141,021,255,598,080/174,484,025,770.02 - Step 6: Final answer
x = 165,830,258,749.07
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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.