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Finding the Fourth Proportional to 264,617,801.60, 396,926,702.40 and 82,920,675.20

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Solution

The fourth proportional to 264,617,801.60, 396,926,702.40 and 82,920,675.20 is: 124,381,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,617,801.60 : 396,926,702.40 = 82,920,675.20 : x
  2. Step 2: Convert to fraction form
    264,617,801.60/396,926,702.40 = 82,920,675.20/x
  3. Step 3: Cross multiply
    264,617,801.60x = 396,926,702.40 × 82,920,675.20
  4. Step 4: Simplify right side
    264,617,801.60x = 32,913,430,167,917,460
  5. Step 5: Solve for x
    x = 32,913,430,167,917,460/264,617,801.60
  6. Step 6: Final answer
    x = 124,381,012.80

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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.