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Finding the Fourth Proportional to 224,516,892.60, 314,928,311.40 and 224,516,892.60

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Solution

The fourth proportional to 224,516,892.60, 314,928,311.40 and 224,516,892.60 is: 314,928,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,516,892.60 : 314,928,311.40 = 224,516,892.60 : x
  2. Step 2: Convert to fraction form
    224,516,892.60/314,928,311.40 = 224,516,892.60/x
  3. Step 3: Cross multiply
    224,516,892.60x = 314,928,311.40 × 224,516,892.60
  4. Step 4: Simplify right side
    224,516,892.60x = 70,706,725,867,293,152
  5. Step 5: Solve for x
    x = 70,706,725,867,293,152/224,516,892.60
  6. Step 6: Final answer
    x = 314,928,311.40

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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.