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Finding the Fourth Proportional to 367,780,811,938.06, 551,671,217,907.06 and 367,780,811,938.06

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Solution

The fourth proportional to 367,780,811,938.06, 551,671,217,907.06 and 367,780,811,938.06 is: 551,671,217,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780,811,938.06 : 551,671,217,907.06 = 367,780,811,938.06 : x
  2. Step 2: Convert to fraction form
    367,780,811,938.06/551,671,217,907.06 = 367,780,811,938.06/x
  3. Step 3: Cross multiply
    367,780,811,938.06x = 551,671,217,907.06 × 367,780,811,938.06
  4. Step 4: Simplify right side
    367,780,811,938.06x = 202,894,088,444,716,957,827,072
  5. Step 5: Solve for x
    x = 202,894,088,444,716,957,827,072/367,780,811,938.06
  6. Step 6: Final answer
    x = 551,671,217,907.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.