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Finding the Fourth Proportional to 558,749,145.90, 838,123,718.85 and 558,749,145.90

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Solution

The fourth proportional to 558,749,145.90, 838,123,718.85 and 558,749,145.90 is: 838,123,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,749,145.90 : 838,123,718.85 = 558,749,145.90 : x
  2. Step 2: Convert to fraction form
    558,749,145.90/838,123,718.85 = 558,749,145.90/x
  3. Step 3: Cross multiply
    558,749,145.90x = 838,123,718.85 × 558,749,145.90
  4. Step 4: Simplify right side
    558,749,145.90x = 468,300,912,065,969,216
  5. Step 5: Solve for x
    x = 468,300,912,065,969,216/558,749,145.90
  6. Step 6: Final answer
    x = 838,123,718.85

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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.