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Finding the Fourth Proportional to 965,807,232.60, 1,448,789,580.90 and 413,113,841.40

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Solution

The fourth proportional to 965,807,232.60, 1,448,789,580.90 and 413,113,841.40 is: 619,704,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,807,232.60 : 1,448,789,580.90 = 413,113,841.40 : x
  2. Step 2: Convert to fraction form
    965,807,232.60/1,448,789,580.90 = 413,113,841.40/x
  3. Step 3: Cross multiply
    965,807,232.60x = 1,448,789,580.90 × 413,113,841.40
  4. Step 4: Simplify right side
    965,807,232.60x = 598,515,029,145,895,040
  5. Step 5: Solve for x
    x = 598,515,029,145,895,040/965,807,232.60
  6. Step 6: Final answer
    x = 619,704,438.88

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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.