Finding the Fourth Proportional to 16,562,208,785,697, 24,845,982,720,320 and 5,101,466,610,637.70
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Solution
The fourth proportional to 16,562,208,785,697, 24,845,982,720,320 and 5,101,466,610,637.70 is: 7,653,022,184,194.11
Step by Step Solution
- Step 1: Write the proportion equation
16,562,208,785,697 : 24,845,982,720,320 = 5,101,466,610,637.70 : x - Step 2: Convert to fraction form
16,562,208,785,697/24,845,982,720,320 = 5,101,466,610,637.70/x - Step 3: Cross multiply
16,562,208,785,697x = 24,845,982,720,320 × 5,101,466,610,637.70 - Step 4: Simplify right side
16,562,208,785,697x = 126,750,951,256,193,741,382,221,824 - Step 5: Solve for x
x = 126,750,951,256,193,741,382,221,824/16,562,208,785,697 - Step 6: Final answer
x = 7,653,022,184,194.11
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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.