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Finding the Fourth Proportional to 403,634,009.80, 566,618,163.80 and 403,634,009.80

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Solution

The fourth proportional to 403,634,009.80, 566,618,163.80 and 403,634,009.80 is: 566,618,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,634,009.80 : 566,618,163.80 = 403,634,009.80 : x
  2. Step 2: Convert to fraction form
    403,634,009.80/566,618,163.80 = 403,634,009.80/x
  3. Step 3: Cross multiply
    403,634,009.80x = 566,618,163.80 × 403,634,009.80
  4. Step 4: Simplify right side
    403,634,009.80x = 228,706,361,480,107,200
  5. Step 5: Solve for x
    x = 228,706,361,480,107,200/403,634,009.80
  6. Step 6: Final answer
    x = 566,618,163.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.