Finding the Fourth Proportional to 7,363,232,835.64, 10,161,292,344.52 and 4,148,181,400.12
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Solution
The fourth proportional to 7,363,232,835.64, 10,161,292,344.52 and 4,148,181,400.12 is: 5,724,507,814.11
Step by Step Solution
- Step 1: Write the proportion equation
7,363,232,835.64 : 10,161,292,344.52 = 4,148,181,400.12 : x - Step 2: Convert to fraction form
7,363,232,835.64/10,161,292,344.52 = 4,148,181,400.12/x - Step 3: Cross multiply
7,363,232,835.64x = 10,161,292,344.52 × 4,148,181,400.12 - Step 4: Simplify right side
7,363,232,835.64x = 42,150,883,904,719,609,856 - Step 5: Solve for x
x = 42,150,883,904,719,609,856/7,363,232,835.64 - Step 6: Final answer
x = 5,724,507,814.11
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1.5x scale
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.