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Finding the Fourth Proportional to 552,765,148,847.80, 829,147,723,271.70 and 552,765,148,847.80

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Solution

The fourth proportional to 552,765,148,847.80, 829,147,723,271.70 and 552,765,148,847.80 is: 829,147,723,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,765,148,847.80 : 829,147,723,271.70 = 552,765,148,847.80 : x
  2. Step 2: Convert to fraction form
    552,765,148,847.80/829,147,723,271.70 = 552,765,148,847.80/x
  3. Step 3: Cross multiply
    552,765,148,847.80x = 829,147,723,271.70 × 552,765,148,847.80
  4. Step 4: Simplify right side
    552,765,148,847.80x = 458,323,964,671,095,738,466,304
  5. Step 5: Solve for x
    x = 458,323,964,671,095,738,466,304/552,765,148,847.80
  6. Step 6: Final answer
    x = 829,147,723,271.70

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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.