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Finding the Fourth Proportional to 378,546,020.40, 530,729,703.60 and 378,546,020.40

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Solution

The fourth proportional to 378,546,020.40, 530,729,703.60 and 378,546,020.40 is: 530,729,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,546,020.40 : 530,729,703.60 = 378,546,020.40 : x
  2. Step 2: Convert to fraction form
    378,546,020.40/530,729,703.60 = 378,546,020.40/x
  3. Step 3: Cross multiply
    378,546,020.40x = 530,729,703.60 × 378,546,020.40
  4. Step 4: Simplify right side
    378,546,020.40x = 200,905,617,205,851,552
  5. Step 5: Solve for x
    x = 200,905,617,205,851,552/378,546,020.40
  6. Step 6: Final answer
    x = 530,729,703.60

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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.