Finding the Fourth Proportional to 293,355,443,371.20, 440,033,165,056.80 and 159,462,922,372.80
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Solution
The fourth proportional to 293,355,443,371.20, 440,033,165,056.80 and 159,462,922,372.80 is: 239,194,383,559.20
Step by Step Solution
- Step 1: Write the proportion equation
293,355,443,371.20 : 440,033,165,056.80 = 159,462,922,372.80 : x - Step 2: Convert to fraction form
293,355,443,371.20/440,033,165,056.80 = 159,462,922,372.80/x - Step 3: Cross multiply
293,355,443,371.20x = 440,033,165,056.80 × 159,462,922,372.80 - Step 4: Simplify right side
293,355,443,371.20x = 70,168,974,440,909,982,662,656 - Step 5: Solve for x
x = 70,168,974,440,909,982,662,656/293,355,443,371.20 - Step 6: Final answer
x = 239,194,383,559.20
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1.5x scale
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.