Finding the Fourth Proportional to 4,292,598,602,697.20, 6,438,215,543,042 and 1,427,176,058,159.50
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Solution
The fourth proportional to 4,292,598,602,697.20, 6,438,215,543,042 and 1,427,176,058,159.50 is: 2,140,537,220,164.60
Step by Step Solution
- Step 1: Write the proportion equation
4,292,598,602,697.20 : 6,438,215,543,042 = 1,427,176,058,159.50 : x - Step 2: Convert to fraction form
4,292,598,602,697.20/6,438,215,543,042 = 1,427,176,058,159.50/x - Step 3: Cross multiply
4,292,598,602,697.20x = 6,438,215,543,042 × 1,427,176,058,159.50 - Step 4: Simplify right side
4,292,598,602,697.20x = 9,188,467,080,299,905,755,906,048 - Step 5: Solve for x
x = 9,188,467,080,299,905,755,906,048/4,292,598,602,697.20 - Step 6: Final answer
x = 2,140,537,220,164.60
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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.