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Finding the Fourth Proportional to 3,816,905,929.30, 5,717,296,737.15 and 3,816,905,929.30

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Solution

The fourth proportional to 3,816,905,929.30, 5,717,296,737.15 and 3,816,905,929.30 is: 5,717,296,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816,905,929.30 : 5,717,296,737.15 = 3,816,905,929.30 : x
  2. Step 2: Convert to fraction form
    3,816,905,929.30/5,717,296,737.15 = 3,816,905,929.30/x
  3. Step 3: Cross multiply
    3,816,905,929.30x = 5,717,296,737.15 × 3,816,905,929.30
  4. Step 4: Simplify right side
    3,816,905,929.30x = 21,822,383,815,595,376,640
  5. Step 5: Solve for x
    x = 21,822,383,815,595,376,640/3,816,905,929.30
  6. Step 6: Final answer
    x = 5,717,296,737.15

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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.