Finding the Fourth Proportional to 660,072,742,365.93, 990,107,876,814.99 and 206,826,344,211.21
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Solution
The fourth proportional to 660,072,742,365.93, 990,107,876,814.99 and 206,826,344,211.21 is: 310,239,128,800.20
Step by Step Solution
- Step 1: Write the proportion equation
660,072,742,365.93 : 990,107,876,814.99 = 206,826,344,211.21 : x - Step 2: Convert to fraction form
660,072,742,365.93/990,107,876,814.99 = 206,826,344,211.21/x - Step 3: Cross multiply
660,072,742,365.93x = 990,107,876,814.99 × 206,826,344,211.21 - Step 4: Simplify right side
660,072,742,365.93x = 204,780,392,536,367,425,388,544 - Step 5: Solve for x
x = 204,780,392,536,367,425,388,544/660,072,742,365.93 - Step 6: Final answer
x = 310,239,128,800.20
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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.