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Finding the Fourth Proportional to 24,136,398,210.45, 36,204,597,315.69 and 24,136,398,210.45

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Solution

The fourth proportional to 24,136,398,210.45, 36,204,597,315.69 and 24,136,398,210.45 is: 36,204,597,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136,398,210.45 : 36,204,597,315.69 = 24,136,398,210.45 : x
  2. Step 2: Convert to fraction form
    24,136,398,210.45/36,204,597,315.69 = 24,136,398,210.45/x
  3. Step 3: Cross multiply
    24,136,398,210.45x = 36,204,597,315.69 × 24,136,398,210.45
  4. Step 4: Simplify right side
    24,136,398,210.45x = 873,848,577,860,483,022,848
  5. Step 5: Solve for x
    x = 873,848,577,860,483,022,848/24,136,398,210.45
  6. Step 6: Final answer
    x = 36,204,597,315.69

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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.