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Finding the Fourth Proportional to 410,497,226,999.70, 615,745,840,499.55 and 410,497,226,999.70

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Solution

The fourth proportional to 410,497,226,999.70, 615,745,840,499.55 and 410,497,226,999.70 is: 615,745,840,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,497,226,999.70 : 615,745,840,499.55 = 410,497,226,999.70 : x
  2. Step 2: Convert to fraction form
    410,497,226,999.70/615,745,840,499.55 = 410,497,226,999.70/x
  3. Step 3: Cross multiply
    410,497,226,999.70x = 615,745,840,499.55 × 410,497,226,999.70
  4. Step 4: Simplify right side
    410,497,226,999.70x = 252,761,960,061,664,889,929,728
  5. Step 5: Solve for x
    x = 252,761,960,061,664,889,929,728/410,497,226,999.70
  6. Step 6: Final answer
    x = 615,745,840,499.55

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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.