Finding the Fourth Proportional to 322,329,821,430.14, 483,313,307,820.12 and 107,083,129,197.26
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Solution
The fourth proportional to 322,329,821,430.14, 483,313,307,820.12 and 107,083,129,197.26 is: 160,564,421,729.36
Step by Step Solution
- Step 1: Write the proportion equation
322,329,821,430.14 : 483,313,307,820.12 = 107,083,129,197.26 : x - Step 2: Convert to fraction form
322,329,821,430.14/483,313,307,820.12 = 107,083,129,197.26/x - Step 3: Cross multiply
322,329,821,430.14x = 483,313,307,820.12 × 107,083,129,197.26 - Step 4: Simplify right side
322,329,821,430.14x = 51,754,701,384,056,999,772,160 - Step 5: Solve for x
x = 51,754,701,384,056,999,772,160/322,329,821,430.14 - Step 6: Final answer
x = 160,564,421,729.36
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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.