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Finding the Fourth Proportional to 242,555,784,028.06, 363,833,676,042.06 and 242,555,784,028.06

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Solution

The fourth proportional to 242,555,784,028.06, 363,833,676,042.06 and 242,555,784,028.06 is: 363,833,676,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,555,784,028.06 : 363,833,676,042.06 = 242,555,784,028.06 : x
  2. Step 2: Convert to fraction form
    242,555,784,028.06/363,833,676,042.06 = 242,555,784,028.06/x
  3. Step 3: Cross multiply
    242,555,784,028.06x = 363,833,676,042.06 × 242,555,784,028.06
  4. Step 4: Simplify right side
    242,555,784,028.06x = 88,249,962,548,193,046,560,768
  5. Step 5: Solve for x
    x = 88,249,962,548,193,046,560,768/242,555,784,028.06
  6. Step 6: Final answer
    x = 363,833,676,042.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.