Finding the Fourth Proportional to 507,785,099,273.14, 700,722,287,868.42 and 276,299,527,610
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Solution
The fourth proportional to 507,785,099,273.14, 700,722,287,868.42 and 276,299,527,610 is: 381,281,840,292.24
Step by Step Solution
- Step 1: Write the proportion equation
507,785,099,273.14 : 700,722,287,868.42 = 276,299,527,610 : x - Step 2: Convert to fraction form
507,785,099,273.14/700,722,287,868.42 = 276,299,527,610/x - Step 3: Cross multiply
507,785,099,273.14x = 700,722,287,868.42 × 276,299,527,610 - Step 4: Simplify right side
507,785,099,273.14x = 193,609,237,123,842,877,423,616 - Step 5: Solve for x
x = 193,609,237,123,842,877,423,616/507,785,099,273.14 - Step 6: Final answer
x = 381,281,840,292.24
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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.