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Finding the Fourth Proportional to 402,732,406.80, 565,355,919.60 and 402,732,406.80

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Solution

The fourth proportional to 402,732,406.80, 565,355,919.60 and 402,732,406.80 is: 565,355,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,732,406.80 : 565,355,919.60 = 402,732,406.80 : x
  2. Step 2: Convert to fraction form
    402,732,406.80/565,355,919.60 = 402,732,406.80/x
  3. Step 3: Cross multiply
    402,732,406.80x = 565,355,919.60 × 402,732,406.80
  4. Step 4: Simplify right side
    402,732,406.80x = 227,687,150,199,135,296
  5. Step 5: Solve for x
    x = 227,687,150,199,135,296/402,732,406.80
  6. Step 6: Final answer
    x = 565,355,919.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.