Finding the Fourth Proportional to 42,300,165,038,049, 63,479,230,738,422 and 14,763,338,453,923
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Solution
The fourth proportional to 42,300,165,038,049, 63,479,230,738,422 and 14,763,338,453,923 is: 22,155,123,209,165.17
Step by Step Solution
- Step 1: Write the proportion equation
42,300,165,038,049 : 63,479,230,738,422 = 14,763,338,453,923 : x - Step 2: Convert to fraction form
42,300,165,038,049/63,479,230,738,422 = 14,763,338,453,923/x - Step 3: Cross multiply
42,300,165,038,049x = 63,479,230,738,422 × 14,763,338,453,923 - Step 4: Simplify right side
42,300,165,038,049x = 937,165,368,185,996,361,657,745,408 - Step 5: Solve for x
x = 937,165,368,185,996,361,657,745,408/42,300,165,038,049 - Step 6: Final answer
x = 22,155,123,209,165.17
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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.