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Finding the Fourth Proportional to 24,097,137,246.80, 36,145,705,870.20 and 24,097,137,246.80

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Solution

The fourth proportional to 24,097,137,246.80, 36,145,705,870.20 and 24,097,137,246.80 is: 36,145,705,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097,137,246.80 : 36,145,705,870.20 = 24,097,137,246.80 : x
  2. Step 2: Convert to fraction form
    24,097,137,246.80/36,145,705,870.20 = 24,097,137,246.80/x
  3. Step 3: Cross multiply
    24,097,137,246.80x = 36,145,705,870.20 × 24,097,137,246.80
  4. Step 4: Simplify right side
    24,097,137,246.80x = 871,008,035,236,673,748,992
  5. Step 5: Solve for x
    x = 871,008,035,236,673,748,992/24,097,137,246.80
  6. Step 6: Final answer
    x = 36,145,705,870.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.