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Finding the Fourth Proportional to 558,972,099.20, 838,458,148.80 and 558,972,099.20

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Solution

The fourth proportional to 558,972,099.20, 838,458,148.80 and 558,972,099.20 is: 838,458,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,972,099.20 : 838,458,148.80 = 558,972,099.20 : x
  2. Step 2: Convert to fraction form
    558,972,099.20/838,458,148.80 = 558,972,099.20/x
  3. Step 3: Cross multiply
    558,972,099.20x = 838,458,148.80 × 558,972,099.20
  4. Step 4: Simplify right side
    558,972,099.20x = 468,674,711,526,081,984
  5. Step 5: Solve for x
    x = 468,674,711,526,081,984/558,972,099.20
  6. Step 6: Final answer
    x = 838,458,148.80

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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.