Finding the Fourth Proportional to 756,029,894,005.12, 1,134,044,841,007.80 and 756,029,894,005.12
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Solution
The fourth proportional to 756,029,894,005.12, 1,134,044,841,007.80 and 756,029,894,005.12 is: 1,134,044,841,007.80
Step by Step Solution
- Step 1: Write the proportion equation
756,029,894,005.12 : 1,134,044,841,007.80 = 756,029,894,005.12 : x - Step 2: Convert to fraction form
756,029,894,005.12/1,134,044,841,007.80 = 756,029,894,005.12/x - Step 3: Cross multiply
756,029,894,005.12x = 1,134,044,841,007.80 × 756,029,894,005.12 - Step 4: Simplify right side
756,029,894,005.12x = 857,371,800,944,180,245,561,344 - Step 5: Solve for x
x = 857,371,800,944,180,245,561,344/756,029,894,005.12 - Step 6: Final answer
x = 1,134,044,841,007.80
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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.