Finding the Fourth Proportional to 254,595,142,110.78, 351,341,644,548.04 and 138,852,181,567.98
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Solution
The fourth proportional to 254,595,142,110.78, 351,341,644,548.04 and 138,852,181,567.98 is: 191,616,200,594.86
Step by Step Solution
- Step 1: Write the proportion equation
254,595,142,110.78 : 351,341,644,548.04 = 138,852,181,567.98 : x - Step 2: Convert to fraction form
254,595,142,110.78/351,341,644,548.04 = 138,852,181,567.98/x - Step 3: Cross multiply
254,595,142,110.78x = 351,341,644,548.04 × 138,852,181,567.98 - Step 4: Simplify right side
254,595,142,110.78x = 48,784,553,821,177,143,885,824 - Step 5: Solve for x
x = 48,784,553,821,177,143,885,824/254,595,142,110.78 - Step 6: Final answer
x = 191,616,200,594.86
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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.