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Finding the Fourth Proportional to 146,079,888,903.97, 219,119,833,355.98 and 146,079,888,903.97

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Solution

The fourth proportional to 146,079,888,903.97, 219,119,833,355.98 and 146,079,888,903.97 is: 219,119,833,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,079,888,903.97 : 219,119,833,355.98 = 146,079,888,903.97 : x
  2. Step 2: Convert to fraction form
    146,079,888,903.97/219,119,833,355.98 = 146,079,888,903.97/x
  3. Step 3: Cross multiply
    146,079,888,903.97x = 219,119,833,355.98 × 146,079,888,903.97
  4. Step 4: Simplify right side
    146,079,888,903.97x = 32,009,000,913,297,981,046,784
  5. Step 5: Solve for x
    x = 32,009,000,913,297,981,046,784/146,079,888,903.97
  6. Step 6: Final answer
    x = 219,119,833,355.98

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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.