Finding the Fourth Proportional to 2,099,202,688.75, 2,896,880,638.84 and 1,146,583,228.32
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Solution
The fourth proportional to 2,099,202,688.75, 2,896,880,638.84 and 1,146,583,228.32 is: 1,582,274,438.17
Step by Step Solution
- Step 1: Write the proportion equation
2,099,202,688.75 : 2,896,880,638.84 = 1,146,583,228.32 : x - Step 2: Convert to fraction form
2,099,202,688.75/2,896,880,638.84 = 1,146,583,228.32/x - Step 3: Cross multiply
2,099,202,688.75x = 2,896,880,638.84 × 1,146,583,228.32 - Step 4: Simplify right side
2,099,202,688.75x = 3,321,514,754,938,871,296 - Step 5: Solve for x
x = 3,321,514,754,938,871,296/2,099,202,688.75 - Step 6: Final answer
x = 1,582,274,438.17
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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.