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Finding the Fourth Proportional to 382,115,103.40, 573,172,655.10 and 382,115,103.40

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Solution

The fourth proportional to 382,115,103.40, 573,172,655.10 and 382,115,103.40 is: 573,172,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,115,103.40 : 573,172,655.10 = 382,115,103.40 : x
  2. Step 2: Convert to fraction form
    382,115,103.40/573,172,655.10 = 382,115,103.40/x
  3. Step 3: Cross multiply
    382,115,103.40x = 573,172,655.10 × 382,115,103.40
  4. Step 4: Simplify right side
    382,115,103.40x = 219,017,928,369,589,024
  5. Step 5: Solve for x
    x = 219,017,928,369,589,024/382,115,103.40
  6. Step 6: Final answer
    x = 573,172,655.10

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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.