Finding the Fourth Proportional to 428,052,551,410.86, 641,654,711,536.41 and 201,005,566,926.09
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Solution
The fourth proportional to 428,052,551,410.86, 641,654,711,536.41 and 201,005,566,926.09 is: 301,309,193,551.28
Step by Step Solution
- Step 1: Write the proportion equation
428,052,551,410.86 : 641,654,711,536.41 = 201,005,566,926.09 : x - Step 2: Convert to fraction form
428,052,551,410.86/641,654,711,536.41 = 201,005,566,926.09/x - Step 3: Cross multiply
428,052,551,410.86x = 641,654,711,536.41 × 201,005,566,926.09 - Step 4: Simplify right side
428,052,551,410.86x = 128,976,169,063,172,840,357,888 - Step 5: Solve for x
x = 128,976,169,063,172,840,357,888/428,052,551,410.86 - Step 6: Final answer
x = 301,309,193,551.28
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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.