Finding the Fourth Proportional to 2,113,737,958,748.90, 3,169,309,355,252.70 and 821,440,301,536.10
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Solution
The fourth proportional to 2,113,737,958,748.90, 3,169,309,355,252.70 and 821,440,301,536.10 is: 1,231,656,185,982.90
Step by Step Solution
- Step 1: Write the proportion equation
2,113,737,958,748.90 : 3,169,309,355,252.70 = 821,440,301,536.10 : x - Step 2: Convert to fraction form
2,113,737,958,748.90/3,169,309,355,252.70 = 821,440,301,536.10/x - Step 3: Cross multiply
2,113,737,958,748.90x = 3,169,309,355,252.70 × 821,440,301,536.10 - Step 4: Simplify right side
2,113,737,958,748.90x = 2,603,398,432,439,960,590,090,240 - Step 5: Solve for x
x = 2,603,398,432,439,960,590,090,240/2,113,737,958,748.90 - Step 6: Final answer
x = 1,231,656,185,982.90
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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.