Finding the Fourth Proportional to 11,184,544,913,854, 15,432,433,451,145 and 6,245,406,699,090.40
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Solution
The fourth proportional to 11,184,544,913,854, 15,432,433,451,145 and 6,245,406,699,090.40 is: 8,617,411,258,249.96
Step by Step Solution
- Step 1: Write the proportion equation
11,184,544,913,854 : 15,432,433,451,145 = 6,245,406,699,090.40 : x - Step 2: Convert to fraction form
11,184,544,913,854/15,432,433,451,145 = 6,245,406,699,090.40/x - Step 3: Cross multiply
11,184,544,913,854x = 15,432,433,451,145 × 6,245,406,699,090.40 - Step 4: Simplify right side
11,184,544,913,854x = 96,381,823,259,047,774,876,860,416 - Step 5: Solve for x
x = 96,381,823,259,047,774,876,860,416/11,184,544,913,854 - Step 6: Final answer
x = 8,617,411,258,249.96
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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.