Finding the Fourth Proportional to 1,537,780,248,106.10, 2,121,941,693,886.80 and 843,138,012,211.85
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Solution
The fourth proportional to 1,537,780,248,106.10, 2,121,941,693,886.80 and 843,138,012,211.85 is: 1,163,423,515,171.67
Step by Step Solution
- Step 1: Write the proportion equation
1,537,780,248,106.10 : 2,121,941,693,886.80 = 843,138,012,211.85 : x - Step 2: Convert to fraction form
1,537,780,248,106.10/2,121,941,693,886.80 = 843,138,012,211.85/x - Step 3: Cross multiply
1,537,780,248,106.10x = 2,121,941,693,886.80 × 843,138,012,211.85 - Step 4: Simplify right side
1,537,780,248,106.10x = 1,789,089,701,813,162,510,123,008 - Step 5: Solve for x
x = 1,789,089,701,813,162,510,123,008/1,537,780,248,106.10 - Step 6: Final answer
x = 1,163,423,515,171.67
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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.