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Finding the Fourth Proportional to 146,079,888,920.26, 219,119,833,380.40 and 146,079,888,920.26

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Solution

The fourth proportional to 146,079,888,920.26, 219,119,833,380.40 and 146,079,888,920.26 is: 219,119,833,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,079,888,920.26 : 219,119,833,380.40 = 146,079,888,920.26 : x
  2. Step 2: Convert to fraction form
    146,079,888,920.26/219,119,833,380.40 = 146,079,888,920.26/x
  3. Step 3: Cross multiply
    146,079,888,920.26x = 219,119,833,380.40 × 146,079,888,920.26
  4. Step 4: Simplify right side
    146,079,888,920.26x = 32,009,000,920,434,710,937,600
  5. Step 5: Solve for x
    x = 32,009,000,920,434,710,937,600/146,079,888,920.26
  6. Step 6: Final answer
    x = 219,119,833,380.40

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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.