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Finding the Fourth Proportional to 364,136,133.60, 546,204,200.40 and 364,136,133.60

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Solution

The fourth proportional to 364,136,133.60, 546,204,200.40 and 364,136,133.60 is: 546,204,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,136,133.60 : 546,204,200.40 = 364,136,133.60 : x
  2. Step 2: Convert to fraction form
    364,136,133.60/546,204,200.40 = 364,136,133.60/x
  3. Step 3: Cross multiply
    364,136,133.60x = 546,204,200.40 × 364,136,133.60
  4. Step 4: Simplify right side
    364,136,133.60x = 198,892,685,689,735,584
  5. Step 5: Solve for x
    x = 198,892,685,689,735,584/364,136,133.60
  6. Step 6: Final answer
    x = 546,204,200.40

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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.