Finding the Fourth Proportional to 14,150,772,490,645, 21,228,281,103,184 and 4,970,212,175,445
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Solution
The fourth proportional to 14,150,772,490,645, 21,228,281,103,184 and 4,970,212,175,445 is: 7,456,063,707,657.35
Step by Step Solution
- Step 1: Write the proportion equation
14,150,772,490,645 : 21,228,281,103,184 = 4,970,212,175,445 : x - Step 2: Convert to fraction form
14,150,772,490,645/21,228,281,103,184 = 4,970,212,175,445/x - Step 3: Cross multiply
14,150,772,490,645x = 21,228,281,103,184 × 4,970,212,175,445 - Step 4: Simplify right side
14,150,772,490,645x = 105,509,061,202,814,138,622,935,040 - Step 5: Solve for x
x = 105,509,061,202,814,138,622,935,040/14,150,772,490,645 - Step 6: Final answer
x = 7,456,063,707,657.35
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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.