Finding the Fourth Proportional to 368,742,160,707.36, 508,582,434,769.08 and 317,386,729,023.84
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Solution
The fourth proportional to 368,742,160,707.36, 508,582,434,769.08 and 317,386,729,023.84 is: 437,751,178,494.73
Step by Step Solution
- Step 1: Write the proportion equation
368,742,160,707.36 : 508,582,434,769.08 = 317,386,729,023.84 : x - Step 2: Convert to fraction form
368,742,160,707.36/508,582,434,769.08 = 317,386,729,023.84/x - Step 3: Cross multiply
368,742,160,707.36x = 508,582,434,769.08 × 317,386,729,023.84 - Step 4: Simplify right side
368,742,160,707.36x = 161,417,315,410,338,780,282,880 - Step 5: Solve for x
x = 161,417,315,410,338,780,282,880/368,742,160,707.36 - Step 6: Final answer
x = 437,751,178,494.73
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.