Finding the Fourth Proportional to 24,779,061,424,076, 34,195,211,074,974 and 13,516,360,685,652
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Solution
The fourth proportional to 24,779,061,424,076, 34,195,211,074,974 and 13,516,360,685,652 is: 18,652,635,735,519.41
Step by Step Solution
- Step 1: Write the proportion equation
24,779,061,424,076 : 34,195,211,074,974 = 13,516,360,685,652 : x - Step 2: Convert to fraction form
24,779,061,424,076/34,195,211,074,974 = 13,516,360,685,652/x - Step 3: Cross multiply
24,779,061,424,076x = 34,195,211,074,974 × 13,516,360,685,652 - Step 4: Simplify right side
24,779,061,424,076x = 462,194,806,611,350,471,246,348,288 - Step 5: Solve for x
x = 462,194,806,611,350,471,246,348,288/24,779,061,424,076 - Step 6: Final answer
x = 18,652,635,735,519.41
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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.