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Finding the Fourth Proportional to 46,615,624,861.80, 69,923,437,292.70 and 46,615,624,861.80

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Solution

The fourth proportional to 46,615,624,861.80, 69,923,437,292.70 and 46,615,624,861.80 is: 69,923,437,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,615,624,861.80 : 69,923,437,292.70 = 46,615,624,861.80 : x
  2. Step 2: Convert to fraction form
    46,615,624,861.80/69,923,437,292.70 = 46,615,624,861.80/x
  3. Step 3: Cross multiply
    46,615,624,861.80x = 69,923,437,292.70 × 46,615,624,861.80
  4. Step 4: Simplify right side
    46,615,624,861.80x = 3,259,524,721,884,099,248,128
  5. Step 5: Solve for x
    x = 3,259,524,721,884,099,248,128/46,615,624,861.80
  6. Step 6: Final answer
    x = 69,923,437,292.70

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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.