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Finding the Fourth Proportional to 5,503,899,708.60, 7,727,227,415.40 and 5,503,899,708.60

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Solution

The fourth proportional to 5,503,899,708.60, 7,727,227,415.40 and 5,503,899,708.60 is: 7,727,227,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503,899,708.60 : 7,727,227,415.40 = 5,503,899,708.60 : x
  2. Step 2: Convert to fraction form
    5,503,899,708.60/7,727,227,415.40 = 5,503,899,708.60/x
  3. Step 3: Cross multiply
    5,503,899,708.60x = 7,727,227,415.40 × 5,503,899,708.60
  4. Step 4: Simplify right side
    5,503,899,708.60x = 42,529,884,719,905,988,608
  5. Step 5: Solve for x
    x = 42,529,884,719,905,988,608/5,503,899,708.60
  6. Step 6: Final answer
    x = 7,727,227,415.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.