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Finding the Fourth Proportional to 313,686,735.40, 470,978,000.70 and 177,637,839.40

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Solution

The fourth proportional to 313,686,735.40, 470,978,000.70 and 177,637,839.40 is: 266,710,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,686,735.40 : 470,978,000.70 = 177,637,839.40 : x
  2. Step 2: Convert to fraction form
    313,686,735.40/470,978,000.70 = 177,637,839.40/x
  3. Step 3: Cross multiply
    313,686,735.40x = 470,978,000.70 × 177,637,839.40
  4. Step 4: Simplify right side
    313,686,735.40x = 83,663,514,449,279,696
  5. Step 5: Solve for x
    x = 83,663,514,449,279,696/313,686,735.40
  6. Step 6: Final answer
    x = 266,710,399.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.