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Finding the Fourth Proportional to 201,817,008.90, 283,309,087.50 and 201,817,008.90

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Solution

The fourth proportional to 201,817,008.90, 283,309,087.50 and 201,817,008.90 is: 283,309,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,817,008.90 : 283,309,087.50 = 201,817,008.90 : x
  2. Step 2: Convert to fraction form
    201,817,008.90/283,309,087.50 = 201,817,008.90/x
  3. Step 3: Cross multiply
    201,817,008.90x = 283,309,087.50 × 201,817,008.90
  4. Step 4: Simplify right side
    201,817,008.90x = 57,176,592,633,438,384
  5. Step 5: Solve for x
    x = 57,176,592,633,438,384/201,817,008.90
  6. Step 6: Final answer
    x = 283,309,087.50

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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.