Finding the Fourth Proportional to 10,514,931,828,953, 14,510,594,918,790 and 5,890,456,531,549
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Solution
The fourth proportional to 10,514,931,828,953, 14,510,594,918,790 and 5,890,456,531,549 is: 8,128,823,848,452.78
Step by Step Solution
- Step 1: Write the proportion equation
10,514,931,828,953 : 14,510,594,918,790 = 5,890,456,531,549 : x - Step 2: Convert to fraction form
10,514,931,828,953/14,510,594,918,790 = 5,890,456,531,549/x - Step 3: Cross multiply
10,514,931,828,953x = 14,510,594,918,790 × 5,890,456,531,549 - Step 4: Simplify right side
10,514,931,828,953x = 85,474,028,616,048,294,930,415,616 - Step 5: Solve for x
x = 85,474,028,616,048,294,930,415,616/10,514,931,828,953 - Step 6: Final answer
x = 8,128,823,848,452.78
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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.