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Finding the Fourth Proportional to 557,606,999.70, 836,410,499.55 and 497,341,590.30

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Solution

The fourth proportional to 557,606,999.70, 836,410,499.55 and 497,341,590.30 is: 746,012,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,606,999.70 : 836,410,499.55 = 497,341,590.30 : x
  2. Step 2: Convert to fraction form
    557,606,999.70/836,410,499.55 = 497,341,590.30/x
  3. Step 3: Cross multiply
    557,606,999.70x = 836,410,499.55 × 497,341,590.30
  4. Step 4: Simplify right side
    557,606,999.70x = 415,981,727,989,814,400
  5. Step 5: Solve for x
    x = 415,981,727,989,814,400/557,606,999.70
  6. Step 6: Final answer
    x = 746,012,385.45

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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.