Finding the Fourth Proportional to 533,603,150,822.49, 736,372,348,135.09 and 305,232,392,808.59
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Solution
The fourth proportional to 533,603,150,822.49, 736,372,348,135.09 and 305,232,392,808.59 is: 421,220,702,075.89
Step by Step Solution
- Step 1: Write the proportion equation
533,603,150,822.49 : 736,372,348,135.09 = 305,232,392,808.59 : x - Step 2: Convert to fraction form
533,603,150,822.49/736,372,348,135.09 = 305,232,392,808.59/x - Step 3: Cross multiply
533,603,150,822.49x = 736,372,348,135.09 × 305,232,392,808.59 - Step 4: Simplify right side
533,603,150,822.49x = 224,764,693,819,353,599,049,728 - Step 5: Solve for x
x = 224,764,693,819,353,599,049,728/533,603,150,822.49 - Step 6: Final answer
x = 421,220,702,075.89
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.