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Finding the Fourth Proportional to 164,896,021.20, 230,552,098.80 and 164,896,021.20

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Solution

The fourth proportional to 164,896,021.20, 230,552,098.80 and 164,896,021.20 is: 230,552,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,896,021.20 : 230,552,098.80 = 164,896,021.20 : x
  2. Step 2: Convert to fraction form
    164,896,021.20/230,552,098.80 = 164,896,021.20/x
  3. Step 3: Cross multiply
    164,896,021.20x = 230,552,098.80 × 164,896,021.20
  4. Step 4: Simplify right side
    164,896,021.20x = 38,017,123,771,429,296
  5. Step 5: Solve for x
    x = 38,017,123,771,429,296/164,896,021.20
  6. Step 6: Final answer
    x = 230,552,098.80

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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.