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Finding the Fourth Proportional to 570,865,794.60, 800,824,543.80 and 570,865,794.60

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Solution

The fourth proportional to 570,865,794.60, 800,824,543.80 and 570,865,794.60 is: 800,824,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,865,794.60 : 800,824,543.80 = 570,865,794.60 : x
  2. Step 2: Convert to fraction form
    570,865,794.60/800,824,543.80 = 570,865,794.60/x
  3. Step 3: Cross multiply
    570,865,794.60x = 800,824,543.80 × 570,865,794.60
  4. Step 4: Simplify right side
    570,865,794.60x = 457,163,339,531,569,472
  5. Step 5: Solve for x
    x = 457,163,339,531,569,472/570,865,794.60
  6. Step 6: Final answer
    x = 800,824,543.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.