Finding the Fourth Proportional to 4,292,598,602,709.60, 6,438,215,543,060.70 and 1,427,176,058,172
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Solution
The fourth proportional to 4,292,598,602,709.60, 6,438,215,543,060.70 and 1,427,176,058,172 is: 2,140,537,220,183.38
Step by Step Solution
- Step 1: Write the proportion equation
4,292,598,602,709.60 : 6,438,215,543,060.70 = 1,427,176,058,172 : x - Step 2: Convert to fraction form
4,292,598,602,709.60/6,438,215,543,060.70 = 1,427,176,058,172/x - Step 3: Cross multiply
4,292,598,602,709.60x = 6,438,215,543,060.70 × 1,427,176,058,172 - Step 4: Simplify right side
4,292,598,602,709.60x = 9,188,467,080,407,072,706,134,016 - Step 5: Solve for x
x = 9,188,467,080,407,072,706,134,016/4,292,598,602,709.60 - Step 6: Final answer
x = 2,140,537,220,183.38
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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.