Finding the Fourth Proportional to 742,271,932,839.68, 1,112,952,233,479.20 and 288,460,956,071.44
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Solution
The fourth proportional to 742,271,932,839.68, 1,112,952,233,479.20 and 288,460,956,071.44 is: 432,514,353,739.68
Step by Step Solution
- Step 1: Write the proportion equation
742,271,932,839.68 : 1,112,952,233,479.20 = 288,460,956,071.44 : x - Step 2: Convert to fraction form
742,271,932,839.68/1,112,952,233,479.20 = 288,460,956,071.44/x - Step 3: Cross multiply
742,271,932,839.68x = 1,112,952,233,479.20 × 288,460,956,071.44 - Step 4: Simplify right side
742,271,932,839.68x = 321,043,265,331,254,555,312,128 - Step 5: Solve for x
x = 321,043,265,331,254,555,312,128/742,271,932,839.68 - Step 6: Final answer
x = 432,514,353,739.68
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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.