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Finding the Fourth Proportional to 20,472,783,275.46, 30,709,174,913.21 and 20,472,783,275.46

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Solution

The fourth proportional to 20,472,783,275.46, 30,709,174,913.21 and 20,472,783,275.46 is: 30,709,174,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472,783,275.46 : 30,709,174,913.21 = 20,472,783,275.46 : x
  2. Step 2: Convert to fraction form
    20,472,783,275.46/30,709,174,913.21 = 20,472,783,275.46/x
  3. Step 3: Cross multiply
    20,472,783,275.46x = 30,709,174,913.21 × 20,472,783,275.46
  4. Step 4: Simplify right side
    20,472,783,275.46x = 628,702,282,566,341,492,736
  5. Step 5: Solve for x
    x = 628,702,282,566,341,492,736/20,472,783,275.46
  6. Step 6: Final answer
    x = 30,709,174,913.21

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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.