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Finding the Fourth Proportional to 980,955,496,475.70, 1,471,433,244,713.50 and 980,955,496,475.70

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Solution

The fourth proportional to 980,955,496,475.70, 1,471,433,244,713.50 and 980,955,496,475.70 is: 1,471,433,244,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,955,496,475.70 : 1,471,433,244,713.50 = 980,955,496,475.70 : x
  2. Step 2: Convert to fraction form
    980,955,496,475.70/1,471,433,244,713.50 = 980,955,496,475.70/x
  3. Step 3: Cross multiply
    980,955,496,475.70x = 1,471,433,244,713.50 × 980,955,496,475.70
  4. Step 4: Simplify right side
    980,955,496,475.70x = 1,443,410,529,098,781,492,772,864
  5. Step 5: Solve for x
    x = 1,443,410,529,098,781,492,772,864/980,955,496,475.70
  6. Step 6: Final answer
    x = 1,471,433,244,713.50

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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.