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Finding the Fourth Proportional to 467,161,361.77, 700,811,709.54 and 172,033,783.02

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Solution

The fourth proportional to 467,161,361.77, 700,811,709.54 and 172,033,783.02 is: 258,076,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,161,361.77 : 700,811,709.54 = 172,033,783.02 : x
  2. Step 2: Convert to fraction form
    467,161,361.77/700,811,709.54 = 172,033,783.02/x
  3. Step 3: Cross multiply
    467,161,361.77x = 700,811,709.54 × 172,033,783.02
  4. Step 4: Simplify right side
    467,161,361.77x = 120,563,289,576,879,632
  5. Step 5: Solve for x
    x = 120,563,289,576,879,632/467,161,361.77
  6. Step 6: Final answer
    x = 258,076,329.60

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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.