Finding the Fourth Proportional to 8,125,655,444,400.90, 11,213,406,343,657 and 4,471,723,316,178
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Solution
The fourth proportional to 8,125,655,444,400.90, 11,213,406,343,657 and 4,471,723,316,178 is: 6,170,979,183,625.27
Step by Step Solution
- Step 1: Write the proportion equation
8,125,655,444,400.90 : 11,213,406,343,657 = 4,471,723,316,178 : x - Step 2: Convert to fraction form
8,125,655,444,400.90/11,213,406,343,657 = 4,471,723,316,178/x - Step 3: Cross multiply
8,125,655,444,400.90x = 11,213,406,343,657 × 4,471,723,316,178 - Step 4: Simplify right side
8,125,655,444,400.90x = 50,143,250,600,709,303,274,831,872 - Step 5: Solve for x
x = 50,143,250,600,709,303,274,831,872/8,125,655,444,400.90 - Step 6: Final answer
x = 6,170,979,183,625.27
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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.