Finding the Fourth Proportional to 16,289,505,245,162, 24,406,607,502,870 and 9,829,266,869,334
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Solution
The fourth proportional to 16,289,505,245,162, 24,406,607,502,870 and 9,829,266,869,334 is: 14,727,215,769,309.45
Step by Step Solution
- Step 1: Write the proportion equation
16,289,505,245,162 : 24,406,607,502,870 = 9,829,266,869,334 : x - Step 2: Convert to fraction form
16,289,505,245,162/24,406,607,502,870 = 9,829,266,869,334/x - Step 3: Cross multiply
16,289,505,245,162x = 24,406,607,502,870 × 9,829,266,869,334 - Step 4: Simplify right side
16,289,505,245,162x = 239,899,058,520,798,723,345,219,584 - Step 5: Solve for x
x = 239,899,058,520,798,723,345,219,584/16,289,505,245,162 - Step 6: Final answer
x = 14,727,215,769,309.45
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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.