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Finding the Fourth Proportional to 442,673,897.80, 664,010,846.70 and 436,627,280.20

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Solution

The fourth proportional to 442,673,897.80, 664,010,846.70 and 436,627,280.20 is: 654,940,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,673,897.80 : 664,010,846.70 = 436,627,280.20 : x
  2. Step 2: Convert to fraction form
    442,673,897.80/664,010,846.70 = 436,627,280.20/x
  3. Step 3: Cross multiply
    442,673,897.80x = 664,010,846.70 × 436,627,280.20
  4. Step 4: Simplify right side
    442,673,897.80x = 289,925,250,017,920,128
  5. Step 5: Solve for x
    x = 289,925,250,017,920,128/442,673,897.80
  6. Step 6: Final answer
    x = 654,940,920.30

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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.