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Finding the Fourth Proportional to 82,086,912,059.20, 123,130,368,088.80 and 82,086,912,059.20

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Solution

The fourth proportional to 82,086,912,059.20, 123,130,368,088.80 and 82,086,912,059.20 is: 123,130,368,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,086,912,059.20 : 123,130,368,088.80 = 82,086,912,059.20 : x
  2. Step 2: Convert to fraction form
    82,086,912,059.20/123,130,368,088.80 = 82,086,912,059.20/x
  3. Step 3: Cross multiply
    82,086,912,059.20x = 123,130,368,088.80 × 82,086,912,059.20
  4. Step 4: Simplify right side
    82,086,912,059.20x = 10,107,391,697,122,251,243,520
  5. Step 5: Solve for x
    x = 10,107,391,697,122,251,243,520/82,086,912,059.20
  6. Step 6: Final answer
    x = 123,130,368,088.80

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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.