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Finding the Fourth Proportional to 522,984,874.40, 721,665,718.08 and 322,009,834.40

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Solution

The fourth proportional to 522,984,874.40, 721,665,718.08 and 322,009,834.40 is: 444,340,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,984,874.40 : 721,665,718.08 = 322,009,834.40 : x
  2. Step 2: Convert to fraction form
    522,984,874.40/721,665,718.08 = 322,009,834.40/x
  3. Step 3: Cross multiply
    522,984,874.40x = 721,665,718.08 × 322,009,834.40
  4. Step 4: Simplify right side
    522,984,874.40x = 232,383,458,371,097,888
  5. Step 5: Solve for x
    x = 232,383,458,371,097,888/522,984,874.40
  6. Step 6: Final answer
    x = 444,340,686.98

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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.