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Finding the Fourth Proportional to 77,263,415,291.60, 115,895,122,937.40 and 77,263,415,291.60

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Solution

The fourth proportional to 77,263,415,291.60, 115,895,122,937.40 and 77,263,415,291.60 is: 115,895,122,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263,415,291.60 : 115,895,122,937.40 = 77,263,415,291.60 : x
  2. Step 2: Convert to fraction form
    77,263,415,291.60/115,895,122,937.40 = 77,263,415,291.60/x
  3. Step 3: Cross multiply
    77,263,415,291.60x = 115,895,122,937.40 × 77,263,415,291.60
  4. Step 4: Simplify right side
    77,263,415,291.60x = 8,954,453,013,783,373,676,544
  5. Step 5: Solve for x
    x = 8,954,453,013,783,373,676,544/77,263,415,291.60
  6. Step 6: Final answer
    x = 115,895,122,937.40

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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.