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Finding the Fourth Proportional to 859,504,737.40, 1,289,257,106.10 and 859,504,737.40

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Solution

The fourth proportional to 859,504,737.40, 1,289,257,106.10 and 859,504,737.40 is: 1,289,257,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,504,737.40 : 1,289,257,106.10 = 859,504,737.40 : x
  2. Step 2: Convert to fraction form
    859,504,737.40/1,289,257,106.10 = 859,504,737.40/x
  3. Step 3: Cross multiply
    859,504,737.40x = 1,289,257,106.10 × 859,504,737.40
  4. Step 4: Simplify right side
    859,504,737.40x = 1,108,122,590,419,564,288
  5. Step 5: Solve for x
    x = 1,108,122,590,419,564,288/859,504,737.40
  6. Step 6: Final answer
    x = 1,289,257,106.10

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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.