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Finding the Fourth Proportional to 51,205,145,065.80, 76,807,717,598.70 and 51,205,145,065.80

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Solution

The fourth proportional to 51,205,145,065.80, 76,807,717,598.70 and 51,205,145,065.80 is: 76,807,717,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205,145,065.80 : 76,807,717,598.70 = 51,205,145,065.80 : x
  2. Step 2: Convert to fraction form
    51,205,145,065.80/76,807,717,598.70 = 51,205,145,065.80/x
  3. Step 3: Cross multiply
    51,205,145,065.80x = 76,807,717,598.70 × 51,205,145,065.80
  4. Step 4: Simplify right side
    51,205,145,065.80x = 3,932,950,321,814,433,169,408
  5. Step 5: Solve for x
    x = 3,932,950,321,814,433,169,408/51,205,145,065.80
  6. Step 6: Final answer
    x = 76,807,717,598.70

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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.