Finding the Fourth Proportional to 763,748,474,595.60, 1,145,307,514,072.60 and 260,711,380,462.80
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Solution
The fourth proportional to 763,748,474,595.60, 1,145,307,514,072.60 and 260,711,380,462.80 is: 390,959,475,508.46
Step by Step Solution
- Step 1: Write the proportion equation
763,748,474,595.60 : 1,145,307,514,072.60 = 260,711,380,462.80 : x - Step 2: Convert to fraction form
763,748,474,595.60/1,145,307,514,072.60 = 260,711,380,462.80/x - Step 3: Cross multiply
763,748,474,595.60x = 1,145,307,514,072.60 × 260,711,380,462.80 - Step 4: Simplify right side
763,748,474,595.60x = 298,594,703,048,285,307,797,504 - Step 5: Solve for x
x = 298,594,703,048,285,307,797,504/763,748,474,595.60 - Step 6: Final answer
x = 390,959,475,508.46
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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.