Finding the Fourth Proportional to 1,847,355,595.20, 2,548,384,195.68 and 1,142,282,191.68
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Solution
The fourth proportional to 1,847,355,595.20, 2,548,384,195.68 and 1,142,282,191.68 is: 1,575,751,789.12
Step by Step Solution
- Step 1: Write the proportion equation
1,847,355,595.20 : 2,548,384,195.68 = 1,142,282,191.68 : x - Step 2: Convert to fraction form
1,847,355,595.20/2,548,384,195.68 = 1,142,282,191.68/x - Step 3: Cross multiply
1,847,355,595.20x = 2,548,384,195.68 × 1,142,282,191.68 - Step 4: Simplify right side
1,847,355,595.20x = 2,910,973,884,284,024,320 - Step 5: Solve for x
x = 2,910,973,884,284,024,320/1,847,355,595.20 - Step 6: Final answer
x = 1,575,751,789.12
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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.