Finding the Fourth Proportional to 641,154,600,660.86, 961,894,687,514.14 and 296,803,859,335.14
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Solution
The fourth proportional to 641,154,600,660.86, 961,894,687,514.14 and 296,803,859,335.14 is: 445,281,146,284.99
Step by Step Solution
- Step 1: Write the proportion equation
641,154,600,660.86 : 961,894,687,514.14 = 296,803,859,335.14 : x - Step 2: Convert to fraction form
641,154,600,660.86/961,894,687,514.14 = 296,803,859,335.14/x - Step 3: Cross multiply
641,154,600,660.86x = 961,894,687,514.14 × 296,803,859,335.14 - Step 4: Simplify right side
641,154,600,660.86x = 285,494,055,528,165,286,084,608 - Step 5: Solve for x
x = 285,494,055,528,165,286,084,608/641,154,600,660.86 - Step 6: Final answer
x = 445,281,146,284.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.