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Finding the Fourth Proportional to 980,051,669.20, 1,470,077,503.80 and 889,352,405.20

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Solution

The fourth proportional to 980,051,669.20, 1,470,077,503.80 and 889,352,405.20 is: 1,334,028,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,051,669.20 : 1,470,077,503.80 = 889,352,405.20 : x
  2. Step 2: Convert to fraction form
    980,051,669.20/1,470,077,503.80 = 889,352,405.20/x
  3. Step 3: Cross multiply
    980,051,669.20x = 1,470,077,503.80 × 889,352,405.20
  4. Step 4: Simplify right side
    980,051,669.20x = 1,307,416,963,834,942,208
  5. Step 5: Solve for x
    x = 1,307,416,963,834,942,208/980,051,669.20
  6. Step 6: Final answer
    x = 1,334,028,607.80

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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.