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Finding the Fourth Proportional to 970,482,137.45, 1,455,723,206.18 and 970,482,137.45

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Solution

The fourth proportional to 970,482,137.45, 1,455,723,206.18 and 970,482,137.45 is: 1,455,723,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,482,137.45 : 1,455,723,206.18 = 970,482,137.45 : x
  2. Step 2: Convert to fraction form
    970,482,137.45/1,455,723,206.18 = 970,482,137.45/x
  3. Step 3: Cross multiply
    970,482,137.45x = 1,455,723,206.18 × 970,482,137.45
  4. Step 4: Simplify right side
    970,482,137.45x = 1,412,753,368,669,133,568
  5. Step 5: Solve for x
    x = 1,412,753,368,669,133,568/970,482,137.45
  6. Step 6: Final answer
    x = 1,455,723,206.18

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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.