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Finding the Fourth Proportional to 586,711,107,076.73, 880,066,660,615.09 and 586,711,107,076.73

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Solution

The fourth proportional to 586,711,107,076.73, 880,066,660,615.09 and 586,711,107,076.73 is: 880,066,660,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,711,107,076.73 : 880,066,660,615.09 = 586,711,107,076.73 : x
  2. Step 2: Convert to fraction form
    586,711,107,076.73/880,066,660,615.09 = 586,711,107,076.73/x
  3. Step 3: Cross multiply
    586,711,107,076.73x = 880,066,660,615.09 × 586,711,107,076.73
  4. Step 4: Simplify right side
    586,711,107,076.73x = 516,344,884,750,800,241,295,360
  5. Step 5: Solve for x
    x = 516,344,884,750,800,241,295,360/586,711,107,076.73
  6. Step 6: Final answer
    x = 880,066,660,615.09

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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.