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Finding the Fourth Proportional to 172,817,365,815.70, 259,226,048,723.55 and 172,817,365,815.70

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Solution

The fourth proportional to 172,817,365,815.70, 259,226,048,723.55 and 172,817,365,815.70 is: 259,226,048,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,817,365,815.70 : 259,226,048,723.55 = 172,817,365,815.70 : x
  2. Step 2: Convert to fraction form
    172,817,365,815.70/259,226,048,723.55 = 172,817,365,815.70/x
  3. Step 3: Cross multiply
    172,817,365,815.70x = 259,226,048,723.55 × 172,817,365,815.70
  4. Step 4: Simplify right side
    172,817,365,815.70x = 44,798,762,891,216,215,343,104
  5. Step 5: Solve for x
    x = 44,798,762,891,216,215,343,104/172,817,365,815.70
  6. Step 6: Final answer
    x = 259,226,048,723.55

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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.