Finding the Fourth Proportional to 1,097,498,476,647.40, 1,645,682,463,682.50 and 492,605,122,118.08
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Solution
The fourth proportional to 1,097,498,476,647.40, 1,645,682,463,682.50 and 492,605,122,118.08 is: 738,653,973,777.09
Step by Step Solution
- Step 1: Write the proportion equation
1,097,498,476,647.40 : 1,645,682,463,682.50 = 492,605,122,118.08 : x - Step 2: Convert to fraction form
1,097,498,476,647.40/1,645,682,463,682.50 = 492,605,122,118.08/x - Step 3: Cross multiply
1,097,498,476,647.40x = 1,645,682,463,682.50 × 492,605,122,118.08 - Step 4: Simplify right side
1,097,498,476,647.40x = 810,671,610,989,900,734,660,608 - Step 5: Solve for x
x = 810,671,610,989,900,734,660,608/1,097,498,476,647.40 - Step 6: Final answer
x = 738,653,973,777.09
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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.