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Finding the Fourth Proportional to 296,832,057.40, 414,715,533.80 and 296,832,057.40

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Solution

The fourth proportional to 296,832,057.40, 414,715,533.80 and 296,832,057.40 is: 414,715,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,832,057.40 : 414,715,533.80 = 296,832,057.40 : x
  2. Step 2: Convert to fraction form
    296,832,057.40/414,715,533.80 = 296,832,057.40/x
  3. Step 3: Cross multiply
    296,832,057.40x = 414,715,533.80 × 296,832,057.40
  4. Step 4: Simplify right side
    296,832,057.40x = 123,100,865,133,593,232
  5. Step 5: Solve for x
    x = 123,100,865,133,593,232/296,832,057.40
  6. Step 6: Final answer
    x = 414,715,533.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.