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Finding the Fourth Proportional to 172,817,365,814.20, 259,226,048,721.30 and 172,817,365,814.20

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Solution

The fourth proportional to 172,817,365,814.20, 259,226,048,721.30 and 172,817,365,814.20 is: 259,226,048,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,817,365,814.20 : 259,226,048,721.30 = 172,817,365,814.20 : x
  2. Step 2: Convert to fraction form
    172,817,365,814.20/259,226,048,721.30 = 172,817,365,814.20/x
  3. Step 3: Cross multiply
    172,817,365,814.20x = 259,226,048,721.30 × 172,817,365,814.20
  4. Step 4: Simplify right side
    172,817,365,814.20x = 44,798,762,890,438,532,661,248
  5. Step 5: Solve for x
    x = 44,798,762,890,438,532,661,248/172,817,365,814.20
  6. Step 6: Final answer
    x = 259,226,048,721.30

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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.