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Finding the Fourth Proportional to 325,652,569.20, 457,122,920.40 and 325,652,569.20

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Solution

The fourth proportional to 325,652,569.20, 457,122,920.40 and 325,652,569.20 is: 457,122,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,652,569.20 : 457,122,920.40 = 325,652,569.20 : x
  2. Step 2: Convert to fraction form
    325,652,569.20/457,122,920.40 = 325,652,569.20/x
  3. Step 3: Cross multiply
    325,652,569.20x = 457,122,920.40 × 325,652,569.20
  4. Step 4: Simplify right side
    325,652,569.20x = 148,863,253,468,467,072
  5. Step 5: Solve for x
    x = 148,863,253,468,467,072/325,652,569.20
  6. Step 6: Final answer
    x = 457,122,920.40

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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.