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Finding the Fourth Proportional to 1,039,906,573.56, 1,559,859,765.71 and 457,640,819.19

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Solution

The fourth proportional to 1,039,906,573.56, 1,559,859,765.71 and 457,640,819.19 is: 686,461,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,906,573.56 : 1,559,859,765.71 = 457,640,819.19 : x
  2. Step 2: Convert to fraction form
    1,039,906,573.56/1,559,859,765.71 = 457,640,819.19/x
  3. Step 3: Cross multiply
    1,039,906,573.56x = 1,559,859,765.71 × 457,640,819.19
  4. Step 4: Simplify right side
    1,039,906,573.56x = 713,855,500,998,757,632
  5. Step 5: Solve for x
    x = 713,855,500,998,757,632/1,039,906,573.56
  6. Step 6: Final answer
    x = 686,461,187.14

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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.