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Finding the Fourth Proportional to 51,789,618,165.90, 72,578,931,836.10 and 51,789,618,165.90

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Solution

The fourth proportional to 51,789,618,165.90, 72,578,931,836.10 and 51,789,618,165.90 is: 72,578,931,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,789,618,165.90 : 72,578,931,836.10 = 51,789,618,165.90 : x
  2. Step 2: Convert to fraction form
    51,789,618,165.90/72,578,931,836.10 = 51,789,618,165.90/x
  3. Step 3: Cross multiply
    51,789,618,165.90x = 72,578,931,836.10 × 51,789,618,165.90
  4. Step 4: Simplify right side
    51,789,618,165.90x = 3,758,835,166,680,503,025,664
  5. Step 5: Solve for x
    x = 3,758,835,166,680,503,025,664/51,789,618,165.90
  6. Step 6: Final answer
    x = 72,578,931,836.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.