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Finding the Fourth Proportional to 258,723,133,032.60, 388,084,699,548.90 and 258,723,133,032.60

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Solution

The fourth proportional to 258,723,133,032.60, 388,084,699,548.90 and 258,723,133,032.60 is: 388,084,699,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,723,133,032.60 : 388,084,699,548.90 = 258,723,133,032.60 : x
  2. Step 2: Convert to fraction form
    258,723,133,032.60/388,084,699,548.90 = 258,723,133,032.60/x
  3. Step 3: Cross multiply
    258,723,133,032.60x = 388,084,699,548.90 × 258,723,133,032.60
  4. Step 4: Simplify right side
    258,723,133,032.60x = 100,406,489,349,306,665,926,656
  5. Step 5: Solve for x
    x = 100,406,489,349,306,665,926,656/258,723,133,032.60
  6. Step 6: Final answer
    x = 388,084,699,548.90

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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.