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Finding the Fourth Proportional to 200,043,147.60, 280,665,068.40 and 200,043,147.60

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Solution

The fourth proportional to 200,043,147.60, 280,665,068.40 and 200,043,147.60 is: 280,665,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,043,147.60 : 280,665,068.40 = 200,043,147.60 : x
  2. Step 2: Convert to fraction form
    200,043,147.60/280,665,068.40 = 200,043,147.60/x
  3. Step 3: Cross multiply
    200,043,147.60x = 280,665,068.40 × 200,043,147.60
  4. Step 4: Simplify right side
    200,043,147.60x = 56,145,123,704,105,288
  5. Step 5: Solve for x
    x = 56,145,123,704,105,288/200,043,147.60
  6. Step 6: Final answer
    x = 280,665,068.40

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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.