Finding the Fourth Proportional to 51,974,561,193,864, 77,964,431,368,352 and 19,780,089,214,299
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Solution
The fourth proportional to 51,974,561,193,864, 77,964,431,368,352 and 19,780,089,214,299 is: 29,671,119,343,479.06
Step by Step Solution
- Step 1: Write the proportion equation
51,974,561,193,864 : 77,964,431,368,352 = 19,780,089,214,299 : x - Step 2: Convert to fraction form
51,974,561,193,864/77,964,431,368,352 = 19,780,089,214,299/x - Step 3: Cross multiply
51,974,561,193,864x = 77,964,431,368,352 × 19,780,089,214,299 - Step 4: Simplify right side
51,974,561,193,864x = 1,542,143,408,008,094,115,367,485,440 - Step 5: Solve for x
x = 1,542,143,408,008,094,115,367,485,440/51,974,561,193,864 - Step 6: Final answer
x = 29,671,119,343,479.06
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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.