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Finding the Fourth Proportional to 377,591,004,048.20, 566,386,506,072.30 and 377,591,004,048.20

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Solution

The fourth proportional to 377,591,004,048.20, 566,386,506,072.30 and 377,591,004,048.20 is: 566,386,506,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,591,004,048.20 : 566,386,506,072.30 = 377,591,004,048.20 : x
  2. Step 2: Convert to fraction form
    377,591,004,048.20/566,386,506,072.30 = 377,591,004,048.20/x
  3. Step 3: Cross multiply
    377,591,004,048.20x = 566,386,506,072.30 × 377,591,004,048.20
  4. Step 4: Simplify right side
    377,591,004,048.20x = 213,862,449,507,191,715,004,416
  5. Step 5: Solve for x
    x = 213,862,449,507,191,715,004,416/377,591,004,048.20
  6. Step 6: Final answer
    x = 566,386,506,072.30

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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.