Finding the Fourth Proportional to 209,125,571,784.30, 313,831,646,109.68 and 72,987,696,215.81
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Solution
The fourth proportional to 209,125,571,784.30, 313,831,646,109.68 and 72,987,696,215.81 is: 109,531,553,954.52
Step by Step Solution
- Step 1: Write the proportion equation
209,125,571,784.30 : 313,831,646,109.68 = 72,987,696,215.81 : x - Step 2: Convert to fraction form
209,125,571,784.30/313,831,646,109.68 = 72,987,696,215.81/x - Step 3: Cross multiply
209,125,571,784.30x = 313,831,646,109.68 × 72,987,696,215.81 - Step 4: Simplify right side
209,125,571,784.30x = 22,905,848,849,161,540,075,520 - Step 5: Solve for x
x = 22,905,848,849,161,540,075,520/209,125,571,784.30 - Step 6: Final answer
x = 109,531,553,954.52
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1.5x scale
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.