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Finding the Fourth Proportional to 382,415,863.60, 573,623,795.40 and 382,415,863.60

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Solution

The fourth proportional to 382,415,863.60, 573,623,795.40 and 382,415,863.60 is: 573,623,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,415,863.60 : 573,623,795.40 = 382,415,863.60 : x
  2. Step 2: Convert to fraction form
    382,415,863.60/573,623,795.40 = 382,415,863.60/x
  3. Step 3: Cross multiply
    382,415,863.60x = 573,623,795.40 × 382,415,863.60
  4. Step 4: Simplify right side
    382,415,863.60x = 219,362,839,099,400,704
  5. Step 5: Solve for x
    x = 219,362,839,099,400,704/382,415,863.60
  6. Step 6: Final answer
    x = 573,623,795.40

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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.