Finding the Fourth Proportional to 1,536,232,302.33, 2,120,000,551.53 and 831,384,283.82
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Solution
The fourth proportional to 1,536,232,302.33, 2,120,000,551.53 and 831,384,283.82 is: 1,147,310,297.77
Step by Step Solution
- Step 1: Write the proportion equation
1,536,232,302.33 : 2,120,000,551.53 = 831,384,283.82 : x - Step 2: Convert to fraction form
1,536,232,302.33/2,120,000,551.53 = 831,384,283.82/x - Step 3: Cross multiply
1,536,232,302.33x = 2,120,000,551.53 × 831,384,283.82 - Step 4: Simplify right side
1,536,232,302.33x = 1,762,535,140,231,774,208 - Step 5: Solve for x
x = 1,762,535,140,231,774,208/1,536,232,302.33 - Step 6: Final answer
x = 1,147,310,297.77
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1.5x scale
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.