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Finding the Fourth Proportional to 773,609,071,510.70, 1,160,413,607,266 and 773,609,071,510.70

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Solution

The fourth proportional to 773,609,071,510.70, 1,160,413,607,266 and 773,609,071,510.70 is: 1,160,413,607,266

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,609,071,510.70 : 1,160,413,607,266 = 773,609,071,510.70 : x
  2. Step 2: Convert to fraction form
    773,609,071,510.70/1,160,413,607,266 = 773,609,071,510.70/x
  3. Step 3: Cross multiply
    773,609,071,510.70x = 1,160,413,607,266 × 773,609,071,510.70
  4. Step 4: Simplify right side
    773,609,071,510.70x = 897,706,493,285,432,341,561,344
  5. Step 5: Solve for x
    x = 897,706,493,285,432,341,561,344/773,609,071,510.70
  6. Step 6: Final answer
    x = 1,160,413,607,266

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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.