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Finding the Fourth Proportional to 361,728,412.80, 507,100,022.40 and 361,728,412.80

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Solution

The fourth proportional to 361,728,412.80, 507,100,022.40 and 361,728,412.80 is: 507,100,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,728,412.80 : 507,100,022.40 = 361,728,412.80 : x
  2. Step 2: Convert to fraction form
    361,728,412.80/507,100,022.40 = 361,728,412.80/x
  3. Step 3: Cross multiply
    361,728,412.80x = 507,100,022.40 × 361,728,412.80
  4. Step 4: Simplify right side
    361,728,412.80x = 183,432,486,233,596,448
  5. Step 5: Solve for x
    x = 183,432,486,233,596,448/361,728,412.80
  6. Step 6: Final answer
    x = 507,100,022.40

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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.