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Finding the Fourth Proportional to 382,001,567.40, 573,002,351.10 and 382,001,567.40

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Solution

The fourth proportional to 382,001,567.40, 573,002,351.10 and 382,001,567.40 is: 573,002,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,001,567.40 : 573,002,351.10 = 382,001,567.40 : x
  2. Step 2: Convert to fraction form
    382,001,567.40/573,002,351.10 = 382,001,567.40/x
  3. Step 3: Cross multiply
    382,001,567.40x = 573,002,351.10 × 382,001,567.40
  4. Step 4: Simplify right side
    382,001,567.40x = 218,887,796,244,085,120
  5. Step 5: Solve for x
    x = 218,887,796,244,085,120/382,001,567.40
  6. Step 6: Final answer
    x = 573,002,351.10

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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.