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Finding the Fourth Proportional to 172,817,365,816.51, 259,226,048,724.77 and 172,817,365,816.51

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Solution

The fourth proportional to 172,817,365,816.51, 259,226,048,724.77 and 172,817,365,816.51 is: 259,226,048,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,817,365,816.51 : 259,226,048,724.77 = 172,817,365,816.51 : x
  2. Step 2: Convert to fraction form
    172,817,365,816.51/259,226,048,724.77 = 172,817,365,816.51/x
  3. Step 3: Cross multiply
    172,817,365,816.51x = 259,226,048,724.77 × 172,817,365,816.51
  4. Step 4: Simplify right side
    172,817,365,816.51x = 44,798,762,891,637,021,474,816
  5. Step 5: Solve for x
    x = 44,798,762,891,637,021,474,816/172,817,365,816.51
  6. Step 6: Final answer
    x = 259,226,048,724.77

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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.