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Finding the Fourth Proportional to 19,729,810,828.20, 29,594,716,242.30 and 19,729,810,828.20

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Solution

The fourth proportional to 19,729,810,828.20, 29,594,716,242.30 and 19,729,810,828.20 is: 29,594,716,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729,810,828.20 : 29,594,716,242.30 = 19,729,810,828.20 : x
  2. Step 2: Convert to fraction form
    19,729,810,828.20/29,594,716,242.30 = 19,729,810,828.20/x
  3. Step 3: Cross multiply
    19,729,810,828.20x = 29,594,716,242.30 × 19,729,810,828.20
  4. Step 4: Simplify right side
    19,729,810,828.20x = 583,898,152,974,836,957,184
  5. Step 5: Solve for x
    x = 583,898,152,974,836,957,184/19,729,810,828.20
  6. Step 6: Final answer
    x = 29,594,716,242.30

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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.