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Finding the Fourth Proportional to 234,497,709.60, 351,746,564.40 and 199,729,658.40

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Solution

The fourth proportional to 234,497,709.60, 351,746,564.40 and 199,729,658.40 is: 299,594,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,497,709.60 : 351,746,564.40 = 199,729,658.40 : x
  2. Step 2: Convert to fraction form
    234,497,709.60/351,746,564.40 = 199,729,658.40/x
  3. Step 3: Cross multiply
    234,497,709.60x = 351,746,564.40 × 199,729,658.40
  4. Step 4: Simplify right side
    234,497,709.60x = 70,254,221,150,985,600
  5. Step 5: Solve for x
    x = 70,254,221,150,985,600/234,497,709.60
  6. Step 6: Final answer
    x = 299,594,487.60

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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.