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Finding the Fourth Proportional to 190,099,164,029.05, 285,148,746,043.60 and 190,099,164,029.05

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Solution

The fourth proportional to 190,099,164,029.05, 285,148,746,043.60 and 190,099,164,029.05 is: 285,148,746,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,099,164,029.05 : 285,148,746,043.60 = 190,099,164,029.05 : x
  2. Step 2: Convert to fraction form
    190,099,164,029.05/285,148,746,043.60 = 190,099,164,029.05/x
  3. Step 3: Cross multiply
    190,099,164,029.05x = 285,148,746,043.60 × 190,099,164,029.05
  4. Step 4: Simplify right side
    190,099,164,029.05x = 54,206,538,246,820,229,808,128
  5. Step 5: Solve for x
    x = 54,206,538,246,820,229,808,128/190,099,164,029.05
  6. Step 6: Final answer
    x = 285,148,746,043.60

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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.