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Finding the Fourth Proportional to 613,074,306.20, 919,611,459.30 and 613,074,306.20

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Solution

The fourth proportional to 613,074,306.20, 919,611,459.30 and 613,074,306.20 is: 919,611,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,074,306.20 : 919,611,459.30 = 613,074,306.20 : x
  2. Step 2: Convert to fraction form
    613,074,306.20/919,611,459.30 = 613,074,306.20/x
  3. Step 3: Cross multiply
    613,074,306.20x = 919,611,459.30 × 613,074,306.20
  4. Step 4: Simplify right side
    613,074,306.20x = 563,790,157,383,917,056
  5. Step 5: Solve for x
    x = 563,790,157,383,917,056/613,074,306.20
  6. Step 6: Final answer
    x = 919,611,459.30

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Half scale
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Double scale
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Similar ratio
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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.