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Finding the Fourth Proportional to 792,674,653,706.10, 1,189,011,980,559.10 and 792,674,653,706.10

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Solution

The fourth proportional to 792,674,653,706.10, 1,189,011,980,559.10 and 792,674,653,706.10 is: 1,189,011,980,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,674,653,706.10 : 1,189,011,980,559.10 = 792,674,653,706.10 : x
  2. Step 2: Convert to fraction form
    792,674,653,706.10/1,189,011,980,559.10 = 792,674,653,706.10/x
  3. Step 3: Cross multiply
    792,674,653,706.10x = 1,189,011,980,559.10 × 792,674,653,706.10
  4. Step 4: Simplify right side
    792,674,653,706.10x = 942,499,659,942,088,801,255,424
  5. Step 5: Solve for x
    x = 942,499,659,942,088,801,255,424/792,674,653,706.10
  6. Step 6: Final answer
    x = 1,189,011,980,559.10

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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.