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Finding the Fourth Proportional to 20,432,835,761.60, 30,649,253,642.40 and 20,432,835,761.60

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Solution

The fourth proportional to 20,432,835,761.60, 30,649,253,642.40 and 20,432,835,761.60 is: 30,649,253,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432,835,761.60 : 30,649,253,642.40 = 20,432,835,761.60 : x
  2. Step 2: Convert to fraction form
    20,432,835,761.60/30,649,253,642.40 = 20,432,835,761.60/x
  3. Step 3: Cross multiply
    20,432,835,761.60x = 30,649,253,642.40 × 20,432,835,761.60
  4. Step 4: Simplify right side
    20,432,835,761.60x = 626,251,165,890,779,807,744
  5. Step 5: Solve for x
    x = 626,251,165,890,779,807,744/20,432,835,761.60
  6. Step 6: Final answer
    x = 30,649,253,642.40

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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.