Finding the Fourth Proportional to 1,417,180,856.40, 2,125,771,284.60 and 497,150,197.20
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Solution
The fourth proportional to 1,417,180,856.40, 2,125,771,284.60 and 497,150,197.20 is: 745,725,295.80
Step by Step Solution
- Step 1: Write the proportion equation
1,417,180,856.40 : 2,125,771,284.60 = 497,150,197.20 : x - Step 2: Convert to fraction form
1,417,180,856.40/2,125,771,284.60 = 497,150,197.20/x - Step 3: Cross multiply
1,417,180,856.40x = 2,125,771,284.60 × 497,150,197.20 - Step 4: Simplify right side
1,417,180,856.40x = 1,056,827,613,340,987,264 - Step 5: Solve for x
x = 1,056,827,613,340,987,264/1,417,180,856.40 - Step 6: Final answer
x = 745,725,295.80
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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.