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Finding the Fourth Proportional to 2,021,957,297.10, 2,838,903,149.70 and 2,021,957,297.10

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Solution

The fourth proportional to 2,021,957,297.10, 2,838,903,149.70 and 2,021,957,297.10 is: 2,838,903,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,957,297.10 : 2,838,903,149.70 = 2,021,957,297.10 : x
  2. Step 2: Convert to fraction form
    2,021,957,297.10/2,838,903,149.70 = 2,021,957,297.10/x
  3. Step 3: Cross multiply
    2,021,957,297.10x = 2,838,903,149.70 × 2,021,957,297.10
  4. Step 4: Simplify right side
    2,021,957,297.10x = 5,740,140,939,296,088,064
  5. Step 5: Solve for x
    x = 5,740,140,939,296,088,064/2,021,957,297.10
  6. Step 6: Final answer
    x = 2,838,903,149.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.