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Finding the Fourth Proportional to 204,854,946.40, 307,282,419.60 and 204,854,946.40

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Solution

The fourth proportional to 204,854,946.40, 307,282,419.60 and 204,854,946.40 is: 307,282,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,854,946.40 : 307,282,419.60 = 204,854,946.40 : x
  2. Step 2: Convert to fraction form
    204,854,946.40/307,282,419.60 = 204,854,946.40/x
  3. Step 3: Cross multiply
    204,854,946.40x = 307,282,419.60 × 204,854,946.40
  4. Step 4: Simplify right side
    204,854,946.40x = 62,948,323,596,820,320
  5. Step 5: Solve for x
    x = 62,948,323,596,820,320/204,854,946.40
  6. Step 6: Final answer
    x = 307,282,419.60

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Why These Related Problems?

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