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Finding the Fourth Proportional to 28,543,428,400.80, 42,815,142,601.20 and 28,543,428,400.80

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Solution

The fourth proportional to 28,543,428,400.80, 42,815,142,601.20 and 28,543,428,400.80 is: 42,815,142,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,543,428,400.80 : 42,815,142,601.20 = 28,543,428,400.80 : x
  2. Step 2: Convert to fraction form
    28,543,428,400.80/42,815,142,601.20 = 28,543,428,400.80/x
  3. Step 3: Cross multiply
    28,543,428,400.80x = 42,815,142,601.20 × 28,543,428,400.80
  4. Step 4: Simplify right side
    28,543,428,400.80x = 1,222,090,957,307,393,867,776
  5. Step 5: Solve for x
    x = 1,222,090,957,307,393,867,776/28,543,428,400.80
  6. Step 6: Final answer
    x = 42,815,142,601.20

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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.