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Finding the Fourth Proportional to 346,578,264,048.20, 519,867,396,072.30 and 346,578,264,048.20

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Solution

The fourth proportional to 346,578,264,048.20, 519,867,396,072.30 and 346,578,264,048.20 is: 519,867,396,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,578,264,048.20 : 519,867,396,072.30 = 346,578,264,048.20 : x
  2. Step 2: Convert to fraction form
    346,578,264,048.20/519,867,396,072.30 = 346,578,264,048.20/x
  3. Step 3: Cross multiply
    346,578,264,048.20x = 519,867,396,072.30 × 346,578,264,048.20
  4. Step 4: Simplify right side
    346,578,264,048.20x = 180,174,739,665,995,756,994,560
  5. Step 5: Solve for x
    x = 180,174,739,665,995,756,994,560/346,578,264,048.20
  6. Step 6: Final answer
    x = 519,867,396,072.30

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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.