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Finding the Fourth Proportional to 847,872,706.30, 1,271,809,059.45 and 847,872,706.30

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Solution

The fourth proportional to 847,872,706.30, 1,271,809,059.45 and 847,872,706.30 is: 1,271,809,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,872,706.30 : 1,271,809,059.45 = 847,872,706.30 : x
  2. Step 2: Convert to fraction form
    847,872,706.30/1,271,809,059.45 = 847,872,706.30/x
  3. Step 3: Cross multiply
    847,872,706.30x = 1,271,809,059.45 × 847,872,706.30
  4. Step 4: Simplify right side
    847,872,706.30x = 1,078,332,189,132,729,088
  5. Step 5: Solve for x
    x = 1,078,332,189,132,729,088/847,872,706.30
  6. Step 6: Final answer
    x = 1,271,809,059.45

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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.