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Finding the Fourth Proportional to 50,101,783,206.60, 75,152,674,809.90 and 50,101,783,206.60

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Solution

The fourth proportional to 50,101,783,206.60, 75,152,674,809.90 and 50,101,783,206.60 is: 75,152,674,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,101,783,206.60 : 75,152,674,809.90 = 50,101,783,206.60 : x
  2. Step 2: Convert to fraction form
    50,101,783,206.60/75,152,674,809.90 = 50,101,783,206.60/x
  3. Step 3: Cross multiply
    50,101,783,206.60x = 75,152,674,809.90 × 50,101,783,206.60
  4. Step 4: Simplify right side
    50,101,783,206.60x = 3,765,283,020,721,718,034,432
  5. Step 5: Solve for x
    x = 3,765,283,020,721,718,034,432/50,101,783,206.60
  6. Step 6: Final answer
    x = 75,152,674,809.90

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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.