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Finding the Fourth Proportional to 5,216,263,254.90, 7,824,394,882.35 and 5,216,263,254.90

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Solution

The fourth proportional to 5,216,263,254.90, 7,824,394,882.35 and 5,216,263,254.90 is: 7,824,394,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216,263,254.90 : 7,824,394,882.35 = 5,216,263,254.90 : x
  2. Step 2: Convert to fraction form
    5,216,263,254.90/7,824,394,882.35 = 5,216,263,254.90/x
  3. Step 3: Cross multiply
    5,216,263,254.90x = 7,824,394,882.35 × 5,216,263,254.90
  4. Step 4: Simplify right side
    5,216,263,254.90x = 40,814,103,516,629,909,504
  5. Step 5: Solve for x
    x = 40,814,103,516,629,909,504/5,216,263,254.90
  6. Step 6: Final answer
    x = 7,824,394,882.35

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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.