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Finding the Fourth Proportional to 25,649,143,809.70, 38,473,715,714.55 and 25,649,143,809.70

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Solution

The fourth proportional to 25,649,143,809.70, 38,473,715,714.55 and 25,649,143,809.70 is: 38,473,715,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649,143,809.70 : 38,473,715,714.55 = 25,649,143,809.70 : x
  2. Step 2: Convert to fraction form
    25,649,143,809.70/38,473,715,714.55 = 25,649,143,809.70/x
  3. Step 3: Cross multiply
    25,649,143,809.70x = 38,473,715,714.55 × 25,649,143,809.70
  4. Step 4: Simplify right side
    25,649,143,809.70x = 986,817,867,256,007,884,800
  5. Step 5: Solve for x
    x = 986,817,867,256,007,884,800/25,649,143,809.70
  6. Step 6: Final answer
    x = 38,473,715,714.55

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Double scale
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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.