Finding the Fourth Proportional to 14,971,455,670,502, 20,660,593,155,828 and 8,386,997,678,690
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Solution
The fourth proportional to 14,971,455,670,502, 20,660,593,155,828 and 8,386,997,678,690 is: 11,574,048,018,570.38
Step by Step Solution
- Step 1: Write the proportion equation
14,971,455,670,502 : 20,660,593,155,828 = 8,386,997,678,690 : x - Step 2: Convert to fraction form
14,971,455,670,502/20,660,593,155,828 = 8,386,997,678,690/x - Step 3: Cross multiply
14,971,455,670,502x = 20,660,593,155,828 × 8,386,997,678,690 - Step 4: Simplify right side
14,971,455,670,502x = 173,280,346,838,287,930,665,992,192 - Step 5: Solve for x
x = 173,280,346,838,287,930,665,992,192/14,971,455,670,502 - Step 6: Final answer
x = 11,574,048,018,570.38
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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.