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Finding the Fourth Proportional to 77,262,560,276.80, 115,893,840,415.20 and 77,262,560,276.80

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Solution

The fourth proportional to 77,262,560,276.80, 115,893,840,415.20 and 77,262,560,276.80 is: 115,893,840,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262,560,276.80 : 115,893,840,415.20 = 77,262,560,276.80 : x
  2. Step 2: Convert to fraction form
    77,262,560,276.80/115,893,840,415.20 = 77,262,560,276.80/x
  3. Step 3: Cross multiply
    77,262,560,276.80x = 115,893,840,415.20 × 77,262,560,276.80
  4. Step 4: Simplify right side
    77,262,560,276.80x = 8,954,254,830,789,230,329,856
  5. Step 5: Solve for x
    x = 8,954,254,830,789,230,329,856/77,262,560,276.80
  6. Step 6: Final answer
    x = 115,893,840,415.20

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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.