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Finding the Fourth Proportional to 497,663,999.60, 746,495,999.40 and 429,583,564.40

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Solution

The fourth proportional to 497,663,999.60, 746,495,999.40 and 429,583,564.40 is: 644,375,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,663,999.60 : 746,495,999.40 = 429,583,564.40 : x
  2. Step 2: Convert to fraction form
    497,663,999.60/746,495,999.40 = 429,583,564.40/x
  3. Step 3: Cross multiply
    497,663,999.60x = 746,495,999.40 × 429,583,564.40
  4. Step 4: Simplify right side
    497,663,999.60x = 320,682,412,232,592,256
  5. Step 5: Solve for x
    x = 320,682,412,232,592,256/497,663,999.60
  6. Step 6: Final answer
    x = 644,375,346.60

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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.