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Finding the Fourth Proportional to 713,637,758.46, 984,740,231.40 and 396,111,389.44

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Solution

The fourth proportional to 713,637,758.46, 984,740,231.40 and 396,111,389.44 is: 546,589,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,637,758.46 : 984,740,231.40 = 396,111,389.44 : x
  2. Step 2: Convert to fraction form
    713,637,758.46/984,740,231.40 = 396,111,389.44/x
  3. Step 3: Cross multiply
    713,637,758.46x = 984,740,231.40 × 396,111,389.44
  4. Step 4: Simplify right side
    713,637,758.46x = 390,066,821,295,340,544
  5. Step 5: Solve for x
    x = 390,066,821,295,340,544/713,637,758.46
  6. Step 6: Final answer
    x = 546,589,381.90

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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.