Finding the Fourth Proportional to 81,406,944,683.84, 122,105,997,996.09 and 24,742,389,748.82
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Solution
The fourth proportional to 81,406,944,683.84, 122,105,997,996.09 and 24,742,389,748.82 is: 37,112,241,527.07
Step by Step Solution
- Step 1: Write the proportion equation
81,406,944,683.84 : 122,105,997,996.09 = 24,742,389,748.82 : x - Step 2: Convert to fraction form
81,406,944,683.84/122,105,997,996.09 = 24,742,389,748.82/x - Step 3: Cross multiply
81,406,944,683.84x = 122,105,997,996.09 × 24,742,389,748.82 - Step 4: Simplify right side
81,406,944,683.84x = 3,021,194,193,087,892,553,728 - Step 5: Solve for x
x = 3,021,194,193,087,892,553,728/81,406,944,683.84 - Step 6: Final answer
x = 37,112,241,527.07
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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.