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Finding the Fourth Proportional to 497,413,640.80, 746,113,462.80 and 224,783,970.40

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Solution

The fourth proportional to 497,413,640.80, 746,113,462.80 and 224,783,970.40 is: 337,172,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,413,640.80 : 746,113,462.80 = 224,783,970.40 : x
  2. Step 2: Convert to fraction form
    497,413,640.80/746,113,462.80 = 224,783,970.40/x
  3. Step 3: Cross multiply
    497,413,640.80x = 746,113,462.80 × 224,783,970.40
  4. Step 4: Simplify right side
    497,413,640.80x = 167,714,346,537,076,704
  5. Step 5: Solve for x
    x = 167,714,346,537,076,704/497,413,640.80
  6. Step 6: Final answer
    x = 337,172,792.98

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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.