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Finding the Fourth Proportional to 3,129,395,220.30, 4,694,092,830.45 and 3,129,395,220.30

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Solution

The fourth proportional to 3,129,395,220.30, 4,694,092,830.45 and 3,129,395,220.30 is: 4,694,092,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,395,220.30 : 4,694,092,830.45 = 3,129,395,220.30 : x
  2. Step 2: Convert to fraction form
    3,129,395,220.30/4,694,092,830.45 = 3,129,395,220.30/x
  3. Step 3: Cross multiply
    3,129,395,220.30x = 4,694,092,830.45 × 3,129,395,220.30
  4. Step 4: Simplify right side
    3,129,395,220.30x = 14,689,671,667,254,728,704
  5. Step 5: Solve for x
    x = 14,689,671,667,254,728,704/3,129,395,220.30
  6. Step 6: Final answer
    x = 4,694,092,830.45

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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.