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Finding the Fourth Proportional to 442,672,957.80, 664,009,436.70 and 436,626,340.20

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Solution

The fourth proportional to 442,672,957.80, 664,009,436.70 and 436,626,340.20 is: 654,939,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,672,957.80 : 664,009,436.70 = 436,626,340.20 : x
  2. Step 2: Convert to fraction form
    442,672,957.80/664,009,436.70 = 436,626,340.20/x
  3. Step 3: Cross multiply
    442,672,957.80x = 664,009,436.70 × 436,626,340.20
  4. Step 4: Simplify right side
    442,672,957.80x = 289,924,010,204,584,576
  5. Step 5: Solve for x
    x = 289,924,010,204,584,576/442,672,957.80
  6. Step 6: Final answer
    x = 654,939,510.30

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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.