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Finding the Fourth Proportional to 782,281,189,200.30, 1,173,421,783,800.50 and 782,281,189,200.30

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Solution

The fourth proportional to 782,281,189,200.30, 1,173,421,783,800.50 and 782,281,189,200.30 is: 1,173,421,783,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,281,189,200.30 : 1,173,421,783,800.50 = 782,281,189,200.30 : x
  2. Step 2: Convert to fraction form
    782,281,189,200.30/1,173,421,783,800.50 = 782,281,189,200.30/x
  3. Step 3: Cross multiply
    782,281,189,200.30x = 1,173,421,783,800.50 × 782,281,189,200.30
  4. Step 4: Simplify right side
    782,281,189,200.30x = 917,945,788,464,992,515,784,704
  5. Step 5: Solve for x
    x = 917,945,788,464,992,515,784,704/782,281,189,200.30
  6. Step 6: Final answer
    x = 1,173,421,783,800.50

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1.5x scale

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.