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Finding the Fourth Proportional to 47,684,911,805.70, 71,527,367,708.55 and 47,684,911,805.70

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Solution

The fourth proportional to 47,684,911,805.70, 71,527,367,708.55 and 47,684,911,805.70 is: 71,527,367,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684,911,805.70 : 71,527,367,708.55 = 47,684,911,805.70 : x
  2. Step 2: Convert to fraction form
    47,684,911,805.70/71,527,367,708.55 = 47,684,911,805.70/x
  3. Step 3: Cross multiply
    47,684,911,805.70x = 71,527,367,708.55 × 47,684,911,805.70
  4. Step 4: Simplify right side
    47,684,911,805.70x = 3,410,776,220,876,080,676,864
  5. Step 5: Solve for x
    x = 3,410,776,220,876,080,676,864/47,684,911,805.70
  6. Step 6: Final answer
    x = 71,527,367,708.55

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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.