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Finding the Fourth Proportional to 13,429,807,364.40, 20,105,968,997.70 and 13,429,807,364.40

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Solution

The fourth proportional to 13,429,807,364.40, 20,105,968,997.70 and 13,429,807,364.40 is: 20,105,968,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429,807,364.40 : 20,105,968,997.70 = 13,429,807,364.40 : x
  2. Step 2: Convert to fraction form
    13,429,807,364.40/20,105,968,997.70 = 13,429,807,364.40/x
  3. Step 3: Cross multiply
    13,429,807,364.40x = 20,105,968,997.70 × 13,429,807,364.40
  4. Step 4: Simplify right side
    13,429,807,364.40x = 270,019,290,513,709,563,904
  5. Step 5: Solve for x
    x = 270,019,290,513,709,563,904/13,429,807,364.40
  6. Step 6: Final answer
    x = 20,105,968,997.70

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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.