Finding the Fourth Proportional to 767,682,532,266.05, 1,059,435,196,042.30 and 425,126,395,245.08
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Solution
The fourth proportional to 767,682,532,266.05, 1,059,435,196,042.30 and 425,126,395,245.08 is: 586,692,867,114.94
Step by Step Solution
- Step 1: Write the proportion equation
767,682,532,266.05 : 1,059,435,196,042.30 = 425,126,395,245.08 : x - Step 2: Convert to fraction form
767,682,532,266.05/1,059,435,196,042.30 = 425,126,395,245.08/x - Step 3: Cross multiply
767,682,532,266.05x = 1,059,435,196,042.30 × 425,126,395,245.08 - Step 4: Simplify right side
767,682,532,266.05x = 450,393,865,889,227,672,125,440 - Step 5: Solve for x
x = 450,393,865,889,227,672,125,440/767,682,532,266.05 - Step 6: Final answer
x = 586,692,867,114.94
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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.