Finding the Fourth Proportional to 180,467,226,368.21, 270,709,831,141.01 and 68,680,865,328.05
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Solution
The fourth proportional to 180,467,226,368.21, 270,709,831,141.01 and 68,680,865,328.05 is: 103,024,719,943.55
Step by Step Solution
- Step 1: Write the proportion equation
180,467,226,368.21 : 270,709,831,141.01 = 68,680,865,328.05 : x - Step 2: Convert to fraction form
180,467,226,368.21/270,709,831,141.01 = 68,680,865,328.05/x - Step 3: Cross multiply
180,467,226,368.21x = 270,709,831,141.01 × 68,680,865,328.05 - Step 4: Simplify right side
180,467,226,368.21x = 18,592,585,455,574,865,412,096 - Step 5: Solve for x
x = 18,592,585,455,574,865,412,096/180,467,226,368.21 - Step 6: Final answer
x = 103,024,719,943.55
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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.