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Finding the Fourth Proportional to 367,780,811,903.67, 551,671,217,855.50 and 367,780,811,903.67

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Solution

The fourth proportional to 367,780,811,903.67, 551,671,217,855.50 and 367,780,811,903.67 is: 551,671,217,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780,811,903.67 : 551,671,217,855.50 = 367,780,811,903.67 : x
  2. Step 2: Convert to fraction form
    367,780,811,903.67/551,671,217,855.50 = 367,780,811,903.67/x
  3. Step 3: Cross multiply
    367,780,811,903.67x = 551,671,217,855.50 × 367,780,811,903.67
  4. Step 4: Simplify right side
    367,780,811,903.67x = 202,894,088,406,782,196,056,064
  5. Step 5: Solve for x
    x = 202,894,088,406,782,196,056,064/367,780,811,903.67
  6. Step 6: Final answer
    x = 551,671,217,855.50

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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.