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Finding the Fourth Proportional to 462,557,769.08, 638,472,657.08 and 297,545,338.58

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Solution

The fourth proportional to 462,557,769.08, 638,472,657.08 and 297,545,338.58 is: 410,704,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,557,769.08 : 638,472,657.08 = 297,545,338.58 : x
  2. Step 2: Convert to fraction form
    462,557,769.08/638,472,657.08 = 297,545,338.58/x
  3. Step 3: Cross multiply
    462,557,769.08x = 638,472,657.08 × 297,545,338.58
  4. Step 4: Simplify right side
    462,557,769.08x = 189,974,562,922,492,320
  5. Step 5: Solve for x
    x = 189,974,562,922,492,320/462,557,769.08
  6. Step 6: Final answer
    x = 410,704,512.22

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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.