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Finding the Fourth Proportional to 20,164,291,457.70, 30,246,437,186.55 and 20,164,291,457.70

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Solution

The fourth proportional to 20,164,291,457.70, 30,246,437,186.55 and 20,164,291,457.70 is: 30,246,437,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164,291,457.70 : 30,246,437,186.55 = 20,164,291,457.70 : x
  2. Step 2: Convert to fraction form
    20,164,291,457.70/30,246,437,186.55 = 20,164,291,457.70/x
  3. Step 3: Cross multiply
    20,164,291,457.70x = 30,246,437,186.55 × 20,164,291,457.70
  4. Step 4: Simplify right side
    20,164,291,457.70x = 609,897,974,986,609,786,880
  5. Step 5: Solve for x
    x = 609,897,974,986,609,786,880/20,164,291,457.70
  6. Step 6: Final answer
    x = 30,246,437,186.55

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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.