Finding the Fourth Proportional to 194,773,186,210.05, 292,159,779,315.07 and 194,773,186,210.05
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Solution
The fourth proportional to 194,773,186,210.05, 292,159,779,315.07 and 194,773,186,210.05 is: 292,159,779,315.07
Step by Step Solution
- Step 1: Write the proportion equation
194,773,186,210.05 : 292,159,779,315.07 = 194,773,186,210.05 : x - Step 2: Convert to fraction form
194,773,186,210.05/292,159,779,315.07 = 194,773,186,210.05/x - Step 3: Cross multiply
194,773,186,210.05x = 292,159,779,315.07 × 194,773,186,210.05 - Step 4: Simplify right side
194,773,186,210.05x = 56,904,891,099,621,237,981,184 - Step 5: Solve for x
x = 56,904,891,099,621,237,981,184/194,773,186,210.05 - Step 6: Final answer
x = 292,159,779,315.07
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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.