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Finding the Fourth Proportional to 497,663,999.10, 746,495,998.65 and 447,499,467.90

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Solution

The fourth proportional to 497,663,999.10, 746,495,998.65 and 447,499,467.90 is: 671,249,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,663,999.10 : 746,495,998.65 = 447,499,467.90 : x
  2. Step 2: Convert to fraction form
    497,663,999.10/746,495,998.65 = 447,499,467.90/x
  3. Step 3: Cross multiply
    497,663,999.10x = 746,495,998.65 × 447,499,467.90
  4. Step 4: Simplify right side
    497,663,999.10x = 334,056,562,185,354,112
  5. Step 5: Solve for x
    x = 334,056,562,185,354,112/497,663,999.10
  6. Step 6: Final answer
    x = 671,249,201.85

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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.