Finding the Fourth Proportional to 415,793,328,252.84, 622,615,855,724.76 and 286,966,224,180.36
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Solution
The fourth proportional to 415,793,328,252.84, 622,615,855,724.76 and 286,966,224,180.36 is: 429,708,004,173.44
Step by Step Solution
- Step 1: Write the proportion equation
415,793,328,252.84 : 622,615,855,724.76 = 286,966,224,180.36 : x - Step 2: Convert to fraction form
415,793,328,252.84/622,615,855,724.76 = 286,966,224,180.36/x - Step 3: Cross multiply
415,793,328,252.84x = 622,615,855,724.76 × 286,966,224,180.36 - Step 4: Simplify right side
415,793,328,252.84x = 178,669,721,232,158,138,302,464 - Step 5: Solve for x
x = 178,669,721,232,158,138,302,464/415,793,328,252.84 - Step 6: Final answer
x = 429,708,004,173.44
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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.