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Finding the Fourth Proportional to 30,240,166,789.80, 42,238,278,300.60 and 30,240,166,789.80

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Solution

The fourth proportional to 30,240,166,789.80, 42,238,278,300.60 and 30,240,166,789.80 is: 42,238,278,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240,166,789.80 : 42,238,278,300.60 = 30,240,166,789.80 : x
  2. Step 2: Convert to fraction form
    30,240,166,789.80/42,238,278,300.60 = 30,240,166,789.80/x
  3. Step 3: Cross multiply
    30,240,166,789.80x = 42,238,278,300.60 × 30,240,166,789.80
  4. Step 4: Simplify right side
    30,240,166,789.80x = 1,277,292,580,724,134,117,376
  5. Step 5: Solve for x
    x = 1,277,292,580,724,134,117,376/30,240,166,789.80
  6. Step 6: Final answer
    x = 42,238,278,300.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.