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Finding the Fourth Proportional to 545,748,007.80, 818,622,011.70 and 545,748,007.80

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Solution

The fourth proportional to 545,748,007.80, 818,622,011.70 and 545,748,007.80 is: 818,622,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,748,007.80 : 818,622,011.70 = 545,748,007.80 : x
  2. Step 2: Convert to fraction form
    545,748,007.80/818,622,011.70 = 545,748,007.80/x
  3. Step 3: Cross multiply
    545,748,007.80x = 818,622,011.70 × 545,748,007.80
  4. Step 4: Simplify right side
    545,748,007.80x = 446,761,332,026,503,296
  5. Step 5: Solve for x
    x = 446,761,332,026,503,296/545,748,007.80
  6. Step 6: Final answer
    x = 818,622,011.70

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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.