Finding the Fourth Proportional to 20,125,517,884,371, 30,185,778,242,430 and 5,423,777,474,326.10
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Solution
The fourth proportional to 20,125,517,884,371, 30,185,778,242,430 and 5,423,777,474,326.10 is: 8,134,992,849,224.34
Step by Step Solution
- Step 1: Write the proportion equation
20,125,517,884,371 : 30,185,778,242,430 = 5,423,777,474,326.10 : x - Step 2: Convert to fraction form
20,125,517,884,371/30,185,778,242,430 = 5,423,777,474,326.10/x - Step 3: Cross multiply
20,125,517,884,371x = 30,185,778,242,430 × 5,423,777,474,326.10 - Step 4: Simplify right side
20,125,517,884,371x = 163,720,944,076,294,730,039,689,216 - Step 5: Solve for x
x = 163,720,944,076,294,730,039,689,216/20,125,517,884,371 - Step 6: Final answer
x = 8,134,992,849,224.34
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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.