Finding the Fourth Proportional to 552,311,468,689.72, 828,504,616,495.60 and 194,119,894,567.48
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Solution
The fourth proportional to 552,311,468,689.72, 828,504,616,495.60 and 194,119,894,567.48 is: 291,192,991,491.45
Step by Step Solution
- Step 1: Write the proportion equation
552,311,468,689.72 : 828,504,616,495.60 = 194,119,894,567.48 : x - Step 2: Convert to fraction form
552,311,468,689.72/828,504,616,495.60 = 194,119,894,567.48/x - Step 3: Cross multiply
552,311,468,689.72x = 828,504,616,495.60 × 194,119,894,567.48 - Step 4: Simplify right side
552,311,468,689.72x = 160,829,228,802,796,335,136,768 - Step 5: Solve for x
x = 160,829,228,802,796,335,136,768/552,311,468,689.72 - Step 6: Final answer
x = 291,192,991,491.45
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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.