Finding the Fourth Proportional to 1,460,649,385,828.40, 2,014,858,692,761.40 and 910,986,408,201.98
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Solution
The fourth proportional to 1,460,649,385,828.40, 2,014,858,692,761.40 and 910,986,408,201.98 is: 1,256,638,931,534.03
Step by Step Solution
- Step 1: Write the proportion equation
1,460,649,385,828.40 : 2,014,858,692,761.40 = 910,986,408,201.98 : x - Step 2: Convert to fraction form
1,460,649,385,828.40/2,014,858,692,761.40 = 910,986,408,201.98/x - Step 3: Cross multiply
1,460,649,385,828.40x = 2,014,858,692,761.40 × 910,986,408,201.98 - Step 4: Simplify right side
1,460,649,385,828.40x = 1,835,508,883,553,244,535,586,816 - Step 5: Solve for x
x = 1,835,508,883,553,244,535,586,816/1,460,649,385,828.40 - Step 6: Final answer
x = 1,256,638,931,534.03
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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.