Finding the Fourth Proportional to 9,874,715,316,505.20, 13,624,032,781,879 and 5,706,440,115,031.20
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Solution
The fourth proportional to 9,874,715,316,505.20, 13,624,032,781,879 and 5,706,440,115,031.20 is: 7,873,110,738,196.90
Step by Step Solution
- Step 1: Write the proportion equation
9,874,715,316,505.20 : 13,624,032,781,879 = 5,706,440,115,031.20 : x - Step 2: Convert to fraction form
9,874,715,316,505.20/13,624,032,781,879 = 5,706,440,115,031.20/x - Step 3: Cross multiply
9,874,715,316,505.20x = 13,624,032,781,879 × 5,706,440,115,031.20 - Step 4: Simplify right side
9,874,715,316,505.20x = 77,744,727,195,014,446,958,247,936 - Step 5: Solve for x
x = 77,744,727,195,014,446,958,247,936/9,874,715,316,505.20 - Step 6: Final answer
x = 7,873,110,738,196.90
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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.