Finding the Fourth Proportional to 1,536,024,593.70, 2,119,717,623.94 and 831,184,138.49
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Solution
The fourth proportional to 1,536,024,593.70, 2,119,717,623.94 and 831,184,138.49 is: 1,147,036,104.96
Step by Step Solution
- Step 1: Write the proportion equation
1,536,024,593.70 : 2,119,717,623.94 = 831,184,138.49 : x - Step 2: Convert to fraction form
1,536,024,593.70/2,119,717,623.94 = 831,184,138.49/x - Step 3: Cross multiply
1,536,024,593.70x = 2,119,717,623.94 × 831,184,138.49 - Step 4: Simplify right side
1,536,024,593.70x = 1,761,875,667,083,962,112 - Step 5: Solve for x
x = 1,761,875,667,083,962,112/1,536,024,593.70 - Step 6: Final answer
x = 1,147,036,104.96
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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.