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Finding the Fourth Proportional to 497,663,999.10, 746,495,998.65 and 489,601,842.30

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Solution

The fourth proportional to 497,663,999.10, 746,495,998.65 and 489,601,842.30 is: 734,402,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,663,999.10 : 746,495,998.65 = 489,601,842.30 : x
  2. Step 2: Convert to fraction form
    497,663,999.10/746,495,998.65 = 489,601,842.30/x
  3. Step 3: Cross multiply
    497,663,999.10x = 746,495,998.65 × 489,601,842.30
  4. Step 4: Simplify right side
    497,663,999.10x = 365,485,816,208,618,304
  5. Step 5: Solve for x
    x = 365,485,816,208,618,304/497,663,999.10
  6. Step 6: Final answer
    x = 734,402,763.45

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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.