Finding the Fourth Proportional to 1,588,029,854.30, 2,381,539,410.28 and 524,254,633.62
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Solution
The fourth proportional to 1,588,029,854.30, 2,381,539,410.28 and 524,254,633.62 is: 786,215,112.77
Step by Step Solution
- Step 1: Write the proportion equation
1,588,029,854.30 : 2,381,539,410.28 = 524,254,633.62 : x - Step 2: Convert to fraction form
1,588,029,854.30/2,381,539,410.28 = 524,254,633.62/x - Step 3: Cross multiply
1,588,029,854.30x = 2,381,539,410.28 × 524,254,633.62 - Step 4: Simplify right side
1,588,029,854.30x = 1,248,533,070,987,932,416 - Step 5: Solve for x
x = 1,248,533,070,987,932,416/1,588,029,854.30 - Step 6: Final answer
x = 786,215,112.77
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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.