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Finding the Fourth Proportional to 906,605,219.10, 1,359,907,828.65 and 293,251,446.30

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Solution

The fourth proportional to 906,605,219.10, 1,359,907,828.65 and 293,251,446.30 is: 439,877,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,605,219.10 : 1,359,907,828.65 = 293,251,446.30 : x
  2. Step 2: Convert to fraction form
    906,605,219.10/1,359,907,828.65 = 293,251,446.30/x
  3. Step 3: Cross multiply
    906,605,219.10x = 1,359,907,828.65 × 293,251,446.30
  4. Step 4: Simplify right side
    906,605,219.10x = 398,794,937,586,305,152
  5. Step 5: Solve for x
    x = 398,794,937,586,305,152/906,605,219.10
  6. Step 6: Final answer
    x = 439,877,169.45

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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.