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Finding the Fourth Proportional to 413,391,155,548.65, 620,086,733,322.96 and 413,391,155,548.65

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Solution

The fourth proportional to 413,391,155,548.65, 620,086,733,322.96 and 413,391,155,548.65 is: 620,086,733,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,391,155,548.65 : 620,086,733,322.96 = 413,391,155,548.65 : x
  2. Step 2: Convert to fraction form
    413,391,155,548.65/620,086,733,322.96 = 413,391,155,548.65/x
  3. Step 3: Cross multiply
    413,391,155,548.65x = 620,086,733,322.96 × 413,391,155,548.65
  4. Step 4: Simplify right side
    413,391,155,548.65x = 256,338,371,228,766,002,216,960
  5. Step 5: Solve for x
    x = 256,338,371,228,766,002,216,960/413,391,155,548.65
  6. Step 6: Final answer
    x = 620,086,733,322.96

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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.