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Finding the Fourth Proportional to 106,596,133.20, 159,894,199.80 and 106,596,133.20

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Solution

The fourth proportional to 106,596,133.20, 159,894,199.80 and 106,596,133.20 is: 159,894,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,596,133.20 : 159,894,199.80 = 106,596,133.20 : x
  2. Step 2: Convert to fraction form
    106,596,133.20/159,894,199.80 = 106,596,133.20/x
  3. Step 3: Cross multiply
    106,596,133.20x = 159,894,199.80 × 106,596,133.20
  4. Step 4: Simplify right side
    106,596,133.20x = 17,044,103,419,788,216
  5. Step 5: Solve for x
    x = 17,044,103,419,788,216/106,596,133.20
  6. Step 6: Final answer
    x = 159,894,199.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.