Finding the Fourth Proportional to 29,469,129,482,768, 40,664,669,552,584 and 16,299,837,361,116
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Solution
The fourth proportional to 29,469,129,482,768, 40,664,669,552,584 and 16,299,837,361,116 is: 22,492,266,031,754.74
Step by Step Solution
- Step 1: Write the proportion equation
29,469,129,482,768 : 40,664,669,552,584 = 16,299,837,361,116 : x - Step 2: Convert to fraction form
29,469,129,482,768/40,664,669,552,584 = 16,299,837,361,116/x - Step 3: Cross multiply
29,469,129,482,768x = 40,664,669,552,584 × 16,299,837,361,116 - Step 4: Simplify right side
29,469,129,482,768x = 662,827,500,050,644,916,670,300,160 - Step 5: Solve for x
x = 662,827,500,050,644,916,670,300,160/29,469,129,482,768 - Step 6: Final answer
x = 22,492,266,031,754.74
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.