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Finding the Fourth Proportional to 595,938,873.60, 822,467,239.20 and 360,982,640.16

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Solution

The fourth proportional to 595,938,873.60, 822,467,239.20 and 360,982,640.16 is: 498,199,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,938,873.60 : 822,467,239.20 = 360,982,640.16 : x
  2. Step 2: Convert to fraction form
    595,938,873.60/822,467,239.20 = 360,982,640.16/x
  3. Step 3: Cross multiply
    595,938,873.60x = 822,467,239.20 × 360,982,640.16
  4. Step 4: Simplify right side
    595,938,873.60x = 296,896,395,451,522,304
  5. Step 5: Solve for x
    x = 296,896,395,451,522,304/595,938,873.60
  6. Step 6: Final answer
    x = 498,199,410.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.