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Finding the Fourth Proportional to 615,745,840,518.40, 923,618,760,777.65 and 615,745,840,518.40

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Solution

The fourth proportional to 615,745,840,518.40, 923,618,760,777.65 and 615,745,840,518.40 is: 923,618,760,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,745,840,518.40 : 923,618,760,777.65 = 615,745,840,518.40 : x
  2. Step 2: Convert to fraction form
    615,745,840,518.40/923,618,760,777.65 = 615,745,840,518.40/x
  3. Step 3: Cross multiply
    615,745,840,518.40x = 923,618,760,777.65 × 615,745,840,518.40
  4. Step 4: Simplify right side
    615,745,840,518.40x = 568,714,410,173,597,178,920,960
  5. Step 5: Solve for x
    x = 568,714,410,173,597,178,920,960/615,745,840,518.40
  6. Step 6: Final answer
    x = 923,618,760,777.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.