Finding the Fourth Proportional to 1,440,933,177.78, 2,161,447,612.56 and 495,521,989.74
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Solution
The fourth proportional to 1,440,933,177.78, 2,161,447,612.56 and 495,521,989.74 is: 743,299,438.32
Step by Step Solution
- Step 1: Write the proportion equation
1,440,933,177.78 : 2,161,447,612.56 = 495,521,989.74 : x - Step 2: Convert to fraction form
1,440,933,177.78/2,161,447,612.56 = 495,521,989.74/x - Step 3: Cross multiply
1,440,933,177.78x = 2,161,447,612.56 × 495,521,989.74 - Step 4: Simplify right side
1,440,933,177.78x = 1,071,044,821,694,503,808 - Step 5: Solve for x
x = 1,071,044,821,694,503,808/1,440,933,177.78 - Step 6: Final answer
x = 743,299,438.32
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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.