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Finding the Fourth Proportional to 27,297,043,678.70, 40,945,565,518.05 and 27,297,043,678.70

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Solution

The fourth proportional to 27,297,043,678.70, 40,945,565,518.05 and 27,297,043,678.70 is: 40,945,565,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297,043,678.70 : 40,945,565,518.05 = 27,297,043,678.70 : x
  2. Step 2: Convert to fraction form
    27,297,043,678.70/40,945,565,518.05 = 27,297,043,678.70/x
  3. Step 3: Cross multiply
    27,297,043,678.70x = 40,945,565,518.05 × 27,297,043,678.70
  4. Step 4: Simplify right side
    27,297,043,678.70x = 1,117,692,890,395,283,554,304
  5. Step 5: Solve for x
    x = 1,117,692,890,395,283,554,304/27,297,043,678.70
  6. Step 6: Final answer
    x = 40,945,565,518.05

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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.