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Finding the Fourth Proportional to 644,973,816,004.80, 965,719,298,138.40 and 644,973,816,004.80

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Solution

The fourth proportional to 644,973,816,004.80, 965,719,298,138.40 and 644,973,816,004.80 is: 965,719,298,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,973,816,004.80 : 965,719,298,138.40 = 644,973,816,004.80 : x
  2. Step 2: Convert to fraction form
    644,973,816,004.80/965,719,298,138.40 = 644,973,816,004.80/x
  3. Step 3: Cross multiply
    644,973,816,004.80x = 965,719,298,138.40 × 644,973,816,004.80
  4. Step 4: Simplify right side
    644,973,816,004.80x = 622,863,660,909,800,999,354,368
  5. Step 5: Solve for x
    x = 622,863,660,909,800,999,354,368/644,973,816,004.80
  6. Step 6: Final answer
    x = 965,719,298,138.40

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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.