Finding the Fourth Proportional to 176,149,730,863.30, 264,224,596,294.95 and 176,149,730,863.30
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Solution
The fourth proportional to 176,149,730,863.30, 264,224,596,294.95 and 176,149,730,863.30 is: 264,224,596,294.95
Step by Step Solution
- Step 1: Write the proportion equation
176,149,730,863.30 : 264,224,596,294.95 = 176,149,730,863.30 : x - Step 2: Convert to fraction form
176,149,730,863.30/264,224,596,294.95 = 176,149,730,863.30/x - Step 3: Cross multiply
176,149,730,863.30x = 264,224,596,294.95 × 176,149,730,863.30 - Step 4: Simplify right side
176,149,730,863.30x = 46,543,091,524,819,537,100,800 - Step 5: Solve for x
x = 46,543,091,524,819,537,100,800/176,149,730,863.30 - Step 6: Final answer
x = 264,224,596,294.95
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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.