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Finding the Fourth Proportional to 224,671,020.30, 314,964,101.70 and 224,671,020.30

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Solution

The fourth proportional to 224,671,020.30, 314,964,101.70 and 224,671,020.30 is: 314,964,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,671,020.30 : 314,964,101.70 = 224,671,020.30 : x
  2. Step 2: Convert to fraction form
    224,671,020.30/314,964,101.70 = 224,671,020.30/x
  3. Step 3: Cross multiply
    224,671,020.30x = 314,964,101.70 × 224,671,020.30
  4. Step 4: Simplify right side
    224,671,020.30x = 70,763,306,086,811,968
  5. Step 5: Solve for x
    x = 70,763,306,086,811,968/224,671,020.30
  6. Step 6: Final answer
    x = 314,964,101.70

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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.