Finding the Fourth Proportional to 166,248,616,964.19, 249,347,728,983.63 and 45,246,601,232.79
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Solution
The fourth proportional to 166,248,616,964.19, 249,347,728,983.63 and 45,246,601,232.79 is: 67,863,044,322.67
Step by Step Solution
- Step 1: Write the proportion equation
166,248,616,964.19 : 249,347,728,983.63 = 45,246,601,232.79 : x - Step 2: Convert to fraction form
166,248,616,964.19/249,347,728,983.63 = 45,246,601,232.79/x - Step 3: Cross multiply
166,248,616,964.19x = 249,347,728,983.63 × 45,246,601,232.79 - Step 4: Simplify right side
166,248,616,964.19x = 11,282,137,261,624,101,175,296 - Step 5: Solve for x
x = 11,282,137,261,624,101,175,296/166,248,616,964.19 - Step 6: Final answer
x = 67,863,044,322.67
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1.5x scale
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.