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Finding the Fourth Proportional to 613,291,265.80, 919,936,898.70 and 285,657,889.30

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Solution

The fourth proportional to 613,291,265.80, 919,936,898.70 and 285,657,889.30 is: 428,486,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,291,265.80 : 919,936,898.70 = 285,657,889.30 : x
  2. Step 2: Convert to fraction form
    613,291,265.80/919,936,898.70 = 285,657,889.30/x
  3. Step 3: Cross multiply
    613,291,265.80x = 919,936,898.70 × 285,657,889.30
  4. Step 4: Simplify right side
    613,291,265.80x = 262,787,232,771,829,952
  5. Step 5: Solve for x
    x = 262,787,232,771,829,952/613,291,265.80
  6. Step 6: Final answer
    x = 428,486,833.95

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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.