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Finding the Fourth Proportional to 224,669,789.55, 314,962,378.65 and 224,669,789.55

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Solution

The fourth proportional to 224,669,789.55, 314,962,378.65 and 224,669,789.55 is: 314,962,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,669,789.55 : 314,962,378.65 = 224,669,789.55 : x
  2. Step 2: Convert to fraction form
    224,669,789.55/314,962,378.65 = 224,669,789.55/x
  3. Step 3: Cross multiply
    224,669,789.55x = 314,962,378.65 × 224,669,789.55
  4. Step 4: Simplify right side
    224,669,789.55x = 70,762,531,327,462,912
  5. Step 5: Solve for x
    x = 70,762,531,327,462,912/224,669,789.55
  6. Step 6: Final answer
    x = 314,962,378.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.