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Finding the Fourth Proportional to 378,145,428,501.80, 567,218,142,752.70 and 378,145,428,501.80

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Solution

The fourth proportional to 378,145,428,501.80, 567,218,142,752.70 and 378,145,428,501.80 is: 567,218,142,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,145,428,501.80 : 567,218,142,752.70 = 378,145,428,501.80 : x
  2. Step 2: Convert to fraction form
    378,145,428,501.80/567,218,142,752.70 = 378,145,428,501.80/x
  3. Step 3: Cross multiply
    378,145,428,501.80x = 567,218,142,752.70 × 378,145,428,501.80
  4. Step 4: Simplify right side
    378,145,428,501.80x = 214,490,947,645,214,893,801,472
  5. Step 5: Solve for x
    x = 214,490,947,645,214,893,801,472/378,145,428,501.80
  6. Step 6: Final answer
    x = 567,218,142,752.70

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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.