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Finding the Fourth Proportional to 9,678,034,134.30, 14,517,051,201.45 and 9,678,034,134.30

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Solution

The fourth proportional to 9,678,034,134.30, 14,517,051,201.45 and 9,678,034,134.30 is: 14,517,051,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678,034,134.30 : 14,517,051,201.45 = 9,678,034,134.30 : x
  2. Step 2: Convert to fraction form
    9,678,034,134.30/14,517,051,201.45 = 9,678,034,134.30/x
  3. Step 3: Cross multiply
    9,678,034,134.30x = 14,517,051,201.45 × 9,678,034,134.30
  4. Step 4: Simplify right side
    9,678,034,134.30x = 140,496,517,057,013,923,840
  5. Step 5: Solve for x
    x = 140,496,517,057,013,923,840/9,678,034,134.30
  6. Step 6: Final answer
    x = 14,517,051,201.45

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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.