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Finding the Fourth Proportional to 488,642,672.80, 732,538,856.40 and 294,347,843.20

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Solution

The fourth proportional to 488,642,672.80, 732,538,856.40 and 294,347,843.20 is: 441,265,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,642,672.80 : 732,538,856.40 = 294,347,843.20 : x
  2. Step 2: Convert to fraction form
    488,642,672.80/732,538,856.40 = 294,347,843.20/x
  3. Step 3: Cross multiply
    488,642,672.80x = 732,538,856.40 × 294,347,843.20
  4. Step 4: Simplify right side
    488,642,672.80x = 215,621,232,441,534,496
  5. Step 5: Solve for x
    x = 215,621,232,441,534,496/488,642,672.80
  6. Step 6: Final answer
    x = 441,265,661.89

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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.