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Finding the Fourth Proportional to 2,125,402,416,284.80, 3,188,103,624,427 and 2,125,402,416,284.80

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Solution

The fourth proportional to 2,125,402,416,284.80, 3,188,103,624,427 and 2,125,402,416,284.80 is: 3,188,103,624,427

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,402,416,284.80 : 3,188,103,624,427 = 2,125,402,416,284.80 : x
  2. Step 2: Convert to fraction form
    2,125,402,416,284.80/3,188,103,624,427 = 2,125,402,416,284.80/x
  3. Step 3: Cross multiply
    2,125,402,416,284.80x = 3,188,103,624,427 × 2,125,402,416,284.80
  4. Step 4: Simplify right side
    2,125,402,416,284.80x = 6,776,003,146,723,474,181,980,160
  5. Step 5: Solve for x
    x = 6,776,003,146,723,474,181,980,160/2,125,402,416,284.80
  6. Step 6: Final answer
    x = 3,188,103,624,427

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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.