Finding the Fourth Proportional to 1,610,236,523,523.30, 2,415,338,868,132 and 737,722,820,649.84
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Solution
The fourth proportional to 1,610,236,523,523.30, 2,415,338,868,132 and 737,722,820,649.84 is: 1,106,576,938,600.75
Step by Step Solution
- Step 1: Write the proportion equation
1,610,236,523,523.30 : 2,415,338,868,132 = 737,722,820,649.84 : x - Step 2: Convert to fraction form
1,610,236,523,523.30/2,415,338,868,132 = 737,722,820,649.84/x - Step 3: Cross multiply
1,610,236,523,523.30x = 2,415,338,868,132 × 737,722,820,649.84 - Step 4: Simplify right side
1,610,236,523,523.30x = 1,781,850,602,623,530,937,876,480 - Step 5: Solve for x
x = 1,781,850,602,623,530,937,876,480/1,610,236,523,523.30 - Step 6: Final answer
x = 1,106,576,938,600.75
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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.