Finding the Fourth Proportional to 7,384,101,264,760.10, 11,076,151,897,140 and 7,384,101,264,760.10
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Solution
The fourth proportional to 7,384,101,264,760.10, 11,076,151,897,140 and 7,384,101,264,760.10 is: 11,076,151,897,140
Step by Step Solution
- Step 1: Write the proportion equation
7,384,101,264,760.10 : 11,076,151,897,140 = 7,384,101,264,760.10 : x - Step 2: Convert to fraction form
7,384,101,264,760.10/11,076,151,897,140 = 7,384,101,264,760.10/x - Step 3: Cross multiply
7,384,101,264,760.10x = 11,076,151,897,140 × 7,384,101,264,760.10 - Step 4: Simplify right side
7,384,101,264,760.10x = 81,787,427,232,346,445,507,985,408 - Step 5: Solve for x
x = 81,787,427,232,346,445,507,985,408/7,384,101,264,760.10 - Step 6: Final answer
x = 11,076,151,897,140
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Double scale
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1.5x scale
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.