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Finding the Fourth Proportional to 172,817,365,812.45, 259,226,048,718.68 and 172,817,365,812.45

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Solution

The fourth proportional to 172,817,365,812.45, 259,226,048,718.68 and 172,817,365,812.45 is: 259,226,048,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,817,365,812.45 : 259,226,048,718.68 = 172,817,365,812.45 : x
  2. Step 2: Convert to fraction form
    172,817,365,812.45/259,226,048,718.68 = 172,817,365,812.45/x
  3. Step 3: Cross multiply
    172,817,365,812.45x = 259,226,048,718.68 × 172,817,365,812.45
  4. Step 4: Simplify right side
    172,817,365,812.45x = 44,798,762,889,532,110,012,416
  5. Step 5: Solve for x
    x = 44,798,762,889,532,110,012,416/172,817,365,812.45
  6. Step 6: Final answer
    x = 259,226,048,718.68

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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.