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Finding the Fourth Proportional to 727,011,297,799.20, 1,090,516,946,698.80 and 727,011,297,799.20

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Solution

The fourth proportional to 727,011,297,799.20, 1,090,516,946,698.80 and 727,011,297,799.20 is: 1,090,516,946,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,011,297,799.20 : 1,090,516,946,698.80 = 727,011,297,799.20 : x
  2. Step 2: Convert to fraction form
    727,011,297,799.20/1,090,516,946,698.80 = 727,011,297,799.20/x
  3. Step 3: Cross multiply
    727,011,297,799.20x = 1,090,516,946,698.80 × 727,011,297,799.20
  4. Step 4: Simplify right side
    727,011,297,799.20x = 792,818,140,691,515,620,458,496
  5. Step 5: Solve for x
    x = 792,818,140,691,515,620,458,496/727,011,297,799.20
  6. Step 6: Final answer
    x = 1,090,516,946,698.80

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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.