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Finding the Fourth Proportional to 545,996,840.70, 818,995,261.05 and 545,996,840.70

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Solution

The fourth proportional to 545,996,840.70, 818,995,261.05 and 545,996,840.70 is: 818,995,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,996,840.70 : 818,995,261.05 = 545,996,840.70 : x
  2. Step 2: Convert to fraction form
    545,996,840.70/818,995,261.05 = 545,996,840.70/x
  3. Step 3: Cross multiply
    545,996,840.70x = 818,995,261.05 × 545,996,840.70
  4. Step 4: Simplify right side
    545,996,840.70x = 447,168,825,081,571,776
  5. Step 5: Solve for x
    x = 447,168,825,081,571,776/545,996,840.70
  6. Step 6: Final answer
    x = 818,995,261.05

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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.