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Finding the Fourth Proportional to 13,436,937,069.30, 18,768,176,250.30 and 13,436,937,069.30

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Solution

The fourth proportional to 13,436,937,069.30, 18,768,176,250.30 and 13,436,937,069.30 is: 18,768,176,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436,937,069.30 : 18,768,176,250.30 = 13,436,937,069.30 : x
  2. Step 2: Convert to fraction form
    13,436,937,069.30/18,768,176,250.30 = 13,436,937,069.30/x
  3. Step 3: Cross multiply
    13,436,937,069.30x = 18,768,176,250.30 × 13,436,937,069.30
  4. Step 4: Simplify right side
    13,436,937,069.30x = 252,186,803,180,811,911,168
  5. Step 5: Solve for x
    x = 252,186,803,180,811,911,168/13,436,937,069.30
  6. Step 6: Final answer
    x = 18,768,176,250.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.