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Finding the Fourth Proportional to 443,232,811.20, 664,849,216.80 and 443,232,811.20

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Solution

The fourth proportional to 443,232,811.20, 664,849,216.80 and 443,232,811.20 is: 664,849,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,232,811.20 : 664,849,216.80 = 443,232,811.20 : x
  2. Step 2: Convert to fraction form
    443,232,811.20/664,849,216.80 = 443,232,811.20/x
  3. Step 3: Cross multiply
    443,232,811.20x = 664,849,216.80 × 443,232,811.20
  4. Step 4: Simplify right side
    443,232,811.20x = 294,682,987,386,382,208
  5. Step 5: Solve for x
    x = 294,682,987,386,382,208/443,232,811.20
  6. Step 6: Final answer
    x = 664,849,216.80

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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.