Finding the Fourth Proportional to 698,803,579,782.87, 1,048,310,177,931.60 and 245,442,576,563.03
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Solution
The fourth proportional to 698,803,579,782.87, 1,048,310,177,931.60 and 245,442,576,563.03 is: 368,200,676,918.01
Step by Step Solution
- Step 1: Write the proportion equation
698,803,579,782.87 : 1,048,310,177,931.60 = 245,442,576,563.03 : x - Step 2: Convert to fraction form
698,803,579,782.87/1,048,310,177,931.60 = 245,442,576,563.03/x - Step 3: Cross multiply
698,803,579,782.87x = 1,048,310,177,931.60 × 245,442,576,563.03 - Step 4: Simplify right side
698,803,579,782.87x = 257,299,951,108,780,317,474,816 - Step 5: Solve for x
x = 257,299,951,108,780,317,474,816/698,803,579,782.87 - Step 6: Final answer
x = 368,200,676,918.01
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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.