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Finding the Fourth Proportional to 545,996,847.70, 818,995,271.55 and 545,996,847.70

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Solution

The fourth proportional to 545,996,847.70, 818,995,271.55 and 545,996,847.70 is: 818,995,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,996,847.70 : 818,995,271.55 = 545,996,847.70 : x
  2. Step 2: Convert to fraction form
    545,996,847.70/818,995,271.55 = 545,996,847.70/x
  3. Step 3: Cross multiply
    545,996,847.70x = 818,995,271.55 × 545,996,847.70
  4. Step 4: Simplify right side
    545,996,847.70x = 447,168,836,547,505,536
  5. Step 5: Solve for x
    x = 447,168,836,547,505,536/545,996,847.70
  6. Step 6: Final answer
    x = 818,995,271.55

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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.