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Finding the Fourth Proportional to 1,164,652,951,500.50, 1,746,979,427,250.80 and 1,164,652,951,500.50

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Solution

The fourth proportional to 1,164,652,951,500.50, 1,746,979,427,250.80 and 1,164,652,951,500.50 is: 1,746,979,427,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,652,951,500.50 : 1,746,979,427,250.80 = 1,164,652,951,500.50 : x
  2. Step 2: Convert to fraction form
    1,164,652,951,500.50/1,746,979,427,250.80 = 1,164,652,951,500.50/x
  3. Step 3: Cross multiply
    1,164,652,951,500.50x = 1,746,979,427,250.80 × 1,164,652,951,500.50
  4. Step 4: Simplify right side
    1,164,652,951,500.50x = 2,034,624,746,158,297,169,526,784
  5. Step 5: Solve for x
    x = 2,034,624,746,158,297,169,526,784/1,164,652,951,500.50
  6. Step 6: Final answer
    x = 1,746,979,427,250.80

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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.