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Finding the Fourth Proportional to 2,674,256,564.90, 4,011,384,847.35 and 2,674,256,564.90

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Solution

The fourth proportional to 2,674,256,564.90, 4,011,384,847.35 and 2,674,256,564.90 is: 4,011,384,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,256,564.90 : 4,011,384,847.35 = 2,674,256,564.90 : x
  2. Step 2: Convert to fraction form
    2,674,256,564.90/4,011,384,847.35 = 2,674,256,564.90/x
  3. Step 3: Cross multiply
    2,674,256,564.90x = 4,011,384,847.35 × 2,674,256,564.90
  4. Step 4: Simplify right side
    2,674,256,564.90x = 10,727,472,262,366,121,984
  5. Step 5: Solve for x
    x = 10,727,472,262,366,121,984/2,674,256,564.90
  6. Step 6: Final answer
    x = 4,011,384,847.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.