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Finding the Fourth Proportional to 346,578,264,034.20, 519,867,396,051.30 and 346,578,264,034.20

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Solution

The fourth proportional to 346,578,264,034.20, 519,867,396,051.30 and 346,578,264,034.20 is: 519,867,396,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,578,264,034.20 : 519,867,396,051.30 = 346,578,264,034.20 : x
  2. Step 2: Convert to fraction form
    346,578,264,034.20/519,867,396,051.30 = 346,578,264,034.20/x
  3. Step 3: Cross multiply
    346,578,264,034.20x = 519,867,396,051.30 × 346,578,264,034.20
  4. Step 4: Simplify right side
    346,578,264,034.20x = 180,174,739,651,439,475,294,208
  5. Step 5: Solve for x
    x = 180,174,739,651,439,475,294,208/346,578,264,034.20
  6. Step 6: Final answer
    x = 519,867,396,051.30

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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.