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Finding the Fourth Proportional to 378,731,042.20, 528,932,057.45 and 378,731,042.20

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Solution

The fourth proportional to 378,731,042.20, 528,932,057.45 and 378,731,042.20 is: 528,932,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,731,042.20 : 528,932,057.45 = 378,731,042.20 : x
  2. Step 2: Convert to fraction form
    378,731,042.20/528,932,057.45 = 378,731,042.20/x
  3. Step 3: Cross multiply
    378,731,042.20x = 528,932,057.45 × 378,731,042.20
  4. Step 4: Simplify right side
    378,731,042.20x = 200,322,989,371,028,768
  5. Step 5: Solve for x
    x = 200,322,989,371,028,768/378,731,042.20
  6. Step 6: Final answer
    x = 528,932,057.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.