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Finding the Fourth Proportional to 262,297,265.60, 393,697,840.80 and 133,050,814.40

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Solution

The fourth proportional to 262,297,265.60, 393,697,840.80 and 133,050,814.40 is: 199,704,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,297,265.60 : 393,697,840.80 = 133,050,814.40 : x
  2. Step 2: Convert to fraction form
    262,297,265.60/393,697,840.80 = 133,050,814.40/x
  3. Step 3: Cross multiply
    262,297,265.60x = 393,697,840.80 × 133,050,814.40
  4. Step 4: Simplify right side
    262,297,265.60x = 52,381,818,345,961,552
  5. Step 5: Solve for x
    x = 52,381,818,345,961,552/262,297,265.60
  6. Step 6: Final answer
    x = 199,704,019.89

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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.