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Finding the Fourth Proportional to 6,019,366,643,737.10, 9,029,049,965,605.60 and 6,019,366,643,737.10

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Solution

The fourth proportional to 6,019,366,643,737.10, 9,029,049,965,605.60 and 6,019,366,643,737.10 is: 9,029,049,965,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019,366,643,737.10 : 9,029,049,965,605.60 = 6,019,366,643,737.10 : x
  2. Step 2: Convert to fraction form
    6,019,366,643,737.10/9,029,049,965,605.60 = 6,019,366,643,737.10/x
  3. Step 3: Cross multiply
    6,019,366,643,737.10x = 9,029,049,965,605.60 × 6,019,366,643,737.10
  4. Step 4: Simplify right side
    6,019,366,643,737.10x = 54,349,162,187,601,953,618,395,136
  5. Step 5: Solve for x
    x = 54,349,162,187,601,953,618,395,136/6,019,366,643,737.10
  6. Step 6: Final answer
    x = 9,029,049,965,605.60

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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.