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Finding the Fourth Proportional to 382,626,288,001.65, 573,939,432,002.51 and 382,626,288,001.65

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Solution

The fourth proportional to 382,626,288,001.65, 573,939,432,002.51 and 382,626,288,001.65 is: 573,939,432,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,626,288,001.65 : 573,939,432,002.51 = 382,626,288,001.65 : x
  2. Step 2: Convert to fraction form
    382,626,288,001.65/573,939,432,002.51 = 382,626,288,001.65/x
  3. Step 3: Cross multiply
    382,626,288,001.65x = 573,939,432,002.51 × 382,626,288,001.65
  4. Step 4: Simplify right side
    382,626,288,001.65x = 219,604,314,404,895,823,233,024
  5. Step 5: Solve for x
    x = 219,604,314,404,895,823,233,024/382,626,288,001.65
  6. Step 6: Final answer
    x = 573,939,432,002.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.