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Finding the Fourth Proportional to 5,705,652,298.80, 7,971,587,350.80 and 5,705,652,298.80

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Solution

The fourth proportional to 5,705,652,298.80, 7,971,587,350.80 and 5,705,652,298.80 is: 7,971,587,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705,652,298.80 : 7,971,587,350.80 = 5,705,652,298.80 : x
  2. Step 2: Convert to fraction form
    5,705,652,298.80/7,971,587,350.80 = 5,705,652,298.80/x
  3. Step 3: Cross multiply
    5,705,652,298.80x = 7,971,587,350.80 × 5,705,652,298.80
  4. Step 4: Simplify right side
    5,705,652,298.80x = 45,483,105,693,177,028,608
  5. Step 5: Solve for x
    x = 45,483,105,693,177,028,608/5,705,652,298.80
  6. Step 6: Final answer
    x = 7,971,587,350.80

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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.