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Finding the Fourth Proportional to 242,642,304,029.60, 363,473,680,018.80 and 242,642,304,029.60

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Solution

The fourth proportional to 242,642,304,029.60, 363,473,680,018.80 and 242,642,304,029.60 is: 363,473,680,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,642,304,029.60 : 363,473,680,018.80 = 242,642,304,029.60 : x
  2. Step 2: Convert to fraction form
    242,642,304,029.60/363,473,680,018.80 = 242,642,304,029.60/x
  3. Step 3: Cross multiply
    242,642,304,029.60x = 363,473,680,018.80 × 242,642,304,029.60
  4. Step 4: Simplify right side
    242,642,304,029.60x = 88,194,091,173,879,211,884,544
  5. Step 5: Solve for x
    x = 88,194,091,173,879,211,884,544/242,642,304,029.60
  6. Step 6: Final answer
    x = 363,473,680,018.80

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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.