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Finding the Fourth Proportional to 9,186,760,914.90, 13,780,141,372.35 and 9,186,760,914.90

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Solution

The fourth proportional to 9,186,760,914.90, 13,780,141,372.35 and 9,186,760,914.90 is: 13,780,141,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186,760,914.90 : 13,780,141,372.35 = 9,186,760,914.90 : x
  2. Step 2: Convert to fraction form
    9,186,760,914.90/13,780,141,372.35 = 9,186,760,914.90/x
  3. Step 3: Cross multiply
    9,186,760,914.90x = 13,780,141,372.35 × 9,186,760,914.90
  4. Step 4: Simplify right side
    9,186,760,914.90x = 126,594,864,161,301,430,272
  5. Step 5: Solve for x
    x = 126,594,864,161,301,430,272/9,186,760,914.90
  6. Step 6: Final answer
    x = 13,780,141,372.35

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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.