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Finding the Fourth Proportional to 9,049,666,033,098.30, 13,574,499,049,649 and 9,049,666,033,098.30

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Solution

The fourth proportional to 9,049,666,033,098.30, 13,574,499,049,649 and 9,049,666,033,098.30 is: 13,574,499,049,649

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049,666,033,098.30 : 13,574,499,049,649 = 9,049,666,033,098.30 : x
  2. Step 2: Convert to fraction form
    9,049,666,033,098.30/13,574,499,049,649 = 9,049,666,033,098.30/x
  3. Step 3: Cross multiply
    9,049,666,033,098.30x = 13,574,499,049,649 × 9,049,666,033,098.30
  4. Step 4: Simplify right side
    9,049,666,033,098.30x = 122,844,682,965,933,726,927,683,584
  5. Step 5: Solve for x
    x = 122,844,682,965,933,726,927,683,584/9,049,666,033,098.30
  6. Step 6: Final answer
    x = 13,574,499,049,649

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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.