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Finding the Fourth Proportional to 296,802,002.70, 415,805,919.30 and 296,802,002.70

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Solution

The fourth proportional to 296,802,002.70, 415,805,919.30 and 296,802,002.70 is: 415,805,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,802,002.70 : 415,805,919.30 = 296,802,002.70 : x
  2. Step 2: Convert to fraction form
    296,802,002.70/415,805,919.30 = 296,802,002.70/x
  3. Step 3: Cross multiply
    296,802,002.70x = 415,805,919.30 × 296,802,002.70
  4. Step 4: Simplify right side
    296,802,002.70x = 123,412,029,582,754,576
  5. Step 5: Solve for x
    x = 123,412,029,582,754,576/296,802,002.70
  6. Step 6: Final answer
    x = 415,805,919.30

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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.