Finding the Fourth Proportional to 1,607,832,440,635.10, 2,412,460,863,845.50 and 842,738,763,347.40
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Solution
The fourth proportional to 1,607,832,440,635.10, 2,412,460,863,845.50 and 842,738,763,347.40 is: 1,264,481,443,239.25
Step by Step Solution
- Step 1: Write the proportion equation
1,607,832,440,635.10 : 2,412,460,863,845.50 = 842,738,763,347.40 : x - Step 2: Convert to fraction form
1,607,832,440,635.10/2,412,460,863,845.50 = 842,738,763,347.40/x - Step 3: Cross multiply
1,607,832,440,635.10x = 2,412,460,863,845.50 × 842,738,763,347.40 - Step 4: Simplify right side
1,607,832,440,635.10x = 2,033,074,285,021,157,134,434,304 - Step 5: Solve for x
x = 2,033,074,285,021,157,134,434,304/1,607,832,440,635.10 - Step 6: Final answer
x = 1,264,481,443,239.25
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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.