Finding the Fourth Proportional to 1,137,096,798.24, 1,705,645,197.84 and 410,085,510.24
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Solution
The fourth proportional to 1,137,096,798.24, 1,705,645,197.84 and 410,085,510.24 is: 615,128,265.53
Step by Step Solution
- Step 1: Write the proportion equation
1,137,096,798.24 : 1,705,645,197.84 = 410,085,510.24 : x - Step 2: Convert to fraction form
1,137,096,798.24/1,705,645,197.84 = 410,085,510.24/x - Step 3: Cross multiply
1,137,096,798.24x = 1,705,645,197.84 × 410,085,510.24 - Step 4: Simplify right side
1,137,096,798.24x = 699,460,381,244,622,080 - Step 5: Solve for x
x = 699,460,381,244,622,080/1,137,096,798.24 - Step 6: Final answer
x = 615,128,265.53
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Double scale
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Similar ratio
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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.