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Finding the Fourth Proportional to 382,001,569.65, 573,002,354.48 and 382,001,569.65

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Solution

The fourth proportional to 382,001,569.65, 573,002,354.48 and 382,001,569.65 is: 573,002,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,001,569.65 : 573,002,354.48 = 382,001,569.65 : x
  2. Step 2: Convert to fraction form
    382,001,569.65/573,002,354.48 = 382,001,569.65/x
  3. Step 3: Cross multiply
    382,001,569.65x = 573,002,354.48 × 382,001,569.65
  4. Step 4: Simplify right side
    382,001,569.65x = 218,887,798,822,595,712
  5. Step 5: Solve for x
    x = 218,887,798,822,595,712/382,001,569.65
  6. Step 6: Final answer
    x = 573,002,354.48

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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.