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Finding the Fourth Proportional to 410,588,702.25, 566,472,907.65 and 234,250,017.45

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Solution

The fourth proportional to 410,588,702.25, 566,472,907.65 and 234,250,017.45 is: 323,185,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,588,702.25 : 566,472,907.65 = 234,250,017.45 : x
  2. Step 2: Convert to fraction form
    410,588,702.25/566,472,907.65 = 234,250,017.45/x
  3. Step 3: Cross multiply
    410,588,702.25x = 566,472,907.65 × 234,250,017.45
  4. Step 4: Simplify right side
    410,588,702.25x = 132,696,288,501,964,720
  5. Step 5: Solve for x
    x = 132,696,288,501,964,720/410,588,702.25
  6. Step 6: Final answer
    x = 323,185,435.39

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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.