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Finding the Fourth Proportional to 172,817,365,782.70, 259,226,048,674.05 and 172,817,365,782.70

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Solution

The fourth proportional to 172,817,365,782.70, 259,226,048,674.05 and 172,817,365,782.70 is: 259,226,048,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,817,365,782.70 : 259,226,048,674.05 = 172,817,365,782.70 : x
  2. Step 2: Convert to fraction form
    172,817,365,782.70/259,226,048,674.05 = 172,817,365,782.70/x
  3. Step 3: Cross multiply
    172,817,365,782.70x = 259,226,048,674.05 × 172,817,365,782.70
  4. Step 4: Simplify right side
    172,817,365,782.70x = 44,798,762,874,107,297,005,568
  5. Step 5: Solve for x
    x = 44,798,762,874,107,297,005,568/172,817,365,782.70
  6. Step 6: Final answer
    x = 259,226,048,674.05

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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.