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Finding the Fourth Proportional to 377,257,698.80, 564,752,807.40 and 223,824,777.20

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Solution

The fourth proportional to 377,257,698.80, 564,752,807.40 and 223,824,777.20 is: 335,064,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,257,698.80 : 564,752,807.40 = 223,824,777.20 : x
  2. Step 2: Convert to fraction form
    377,257,698.80/564,752,807.40 = 223,824,777.20/x
  3. Step 3: Cross multiply
    377,257,698.80x = 564,752,807.40 × 223,824,777.20
  4. Step 4: Simplify right side
    377,257,698.80x = 126,405,671,289,379,504
  5. Step 5: Solve for x
    x = 126,405,671,289,379,504/377,257,698.80
  6. Step 6: Final answer
    x = 335,064,524.04

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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.