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Finding the Fourth Proportional to 70,593,885,246.71, 105,890,827,870.08 and 70,593,885,246.71

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Solution

The fourth proportional to 70,593,885,246.71, 105,890,827,870.08 and 70,593,885,246.71 is: 105,890,827,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,593,885,246.71 : 105,890,827,870.08 = 70,593,885,246.71 : x
  2. Step 2: Convert to fraction form
    70,593,885,246.71/105,890,827,870.08 = 70,593,885,246.71/x
  3. Step 3: Cross multiply
    70,593,885,246.71x = 105,890,827,870.08 × 70,593,885,246.71
  4. Step 4: Simplify right side
    70,593,885,246.71x = 7,475,244,951,339,760,877,568
  5. Step 5: Solve for x
    x = 7,475,244,951,339,760,877,568/70,593,885,246.71
  6. Step 6: Final answer
    x = 105,890,827,870.08

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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.