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Finding the Fourth Proportional to 535,992,409.20, 802,288,002.60 and 535,992,409.20

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Solution

The fourth proportional to 535,992,409.20, 802,288,002.60 and 535,992,409.20 is: 802,288,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,992,409.20 : 802,288,002.60 = 535,992,409.20 : x
  2. Step 2: Convert to fraction form
    535,992,409.20/802,288,002.60 = 535,992,409.20/x
  3. Step 3: Cross multiply
    535,992,409.20x = 802,288,002.60 × 535,992,409.20
  4. Step 4: Simplify right side
    535,992,409.20x = 430,020,279,385,829,888
  5. Step 5: Solve for x
    x = 430,020,279,385,829,888/535,992,409.20
  6. Step 6: Final answer
    x = 802,288,002.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.