Finding the Fourth Proportional to 5,187,868,191, 7,782,608,502.18 and 1,742,102,374.68
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Solution
The fourth proportional to 5,187,868,191, 7,782,608,502.18 and 1,742,102,374.68 is: 2,613,424,291.77
Step by Step Solution
- Step 1: Write the proportion equation
5,187,868,191 : 7,782,608,502.18 = 1,742,102,374.68 : x - Step 2: Convert to fraction form
5,187,868,191/7,782,608,502.18 = 1,742,102,374.68/x - Step 3: Cross multiply
5,187,868,191x = 7,782,608,502.18 × 1,742,102,374.68 - Step 4: Simplify right side
5,187,868,191x = 13,558,100,752,852,537,344 - Step 5: Solve for x
x = 13,558,100,752,852,537,344/5,187,868,191 - Step 6: Final answer
x = 2,613,424,291.77
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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.