Finding the Fourth Proportional to 243,615,813,438.24, 365,274,782,682.30 and 116,169,485,101.29
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Solution
The fourth proportional to 243,615,813,438.24, 365,274,782,682.30 and 116,169,485,101.29 is: 174,183,206,031.68
Step by Step Solution
- Step 1: Write the proportion equation
243,615,813,438.24 : 365,274,782,682.30 = 116,169,485,101.29 : x - Step 2: Convert to fraction form
243,615,813,438.24/365,274,782,682.30 = 116,169,485,101.29/x - Step 3: Cross multiply
243,615,813,438.24x = 365,274,782,682.30 × 116,169,485,101.29 - Step 4: Simplify right side
243,615,813,438.24x = 42,433,783,424,688,387,522,560 - Step 5: Solve for x
x = 42,433,783,424,688,387,522,560/243,615,813,438.24 - Step 6: Final answer
x = 174,183,206,031.68
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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.