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Finding the Fourth Proportional to 242,138,304,237.90, 363,207,456,356.85 and 242,138,304,237.90

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Solution

The fourth proportional to 242,138,304,237.90, 363,207,456,356.85 and 242,138,304,237.90 is: 363,207,456,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,138,304,237.90 : 363,207,456,356.85 = 242,138,304,237.90 : x
  2. Step 2: Convert to fraction form
    242,138,304,237.90/363,207,456,356.85 = 242,138,304,237.90/x
  3. Step 3: Cross multiply
    242,138,304,237.90x = 363,207,456,356.85 × 242,138,304,237.90
  4. Step 4: Simplify right side
    242,138,304,237.90x = 87,946,437,568,808,729,182,208
  5. Step 5: Solve for x
    x = 87,946,437,568,808,729,182,208/242,138,304,237.90
  6. Step 6: Final answer
    x = 363,207,456,356.85

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1.5x scale

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.