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Finding the Fourth Proportional to 811,103,632.98, 1,216,655,449.46 and 811,103,632.98

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Solution

The fourth proportional to 811,103,632.98, 1,216,655,449.46 and 811,103,632.98 is: 1,216,655,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,103,632.98 : 1,216,655,449.46 = 811,103,632.98 : x
  2. Step 2: Convert to fraction form
    811,103,632.98/1,216,655,449.46 = 811,103,632.98/x
  3. Step 3: Cross multiply
    811,103,632.98x = 1,216,655,449.46 × 811,103,632.98
  4. Step 4: Simplify right side
    811,103,632.98x = 986,833,655,141,920,896
  5. Step 5: Solve for x
    x = 986,833,655,141,920,896/811,103,632.98
  6. Step 6: Final answer
    x = 1,216,655,449.46

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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.