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Finding the Fourth Proportional to 242,284,609,458.40, 363,426,914,187.60 and 242,284,609,458.40

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Solution

The fourth proportional to 242,284,609,458.40, 363,426,914,187.60 and 242,284,609,458.40 is: 363,426,914,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,284,609,458.40 : 363,426,914,187.60 = 242,284,609,458.40 : x
  2. Step 2: Convert to fraction form
    242,284,609,458.40/363,426,914,187.60 = 242,284,609,458.40/x
  3. Step 3: Cross multiply
    242,284,609,458.40x = 363,426,914,187.60 × 242,284,609,458.40
  4. Step 4: Simplify right side
    242,284,609,458.40x = 88,052,747,970,614,113,861,632
  5. Step 5: Solve for x
    x = 88,052,747,970,614,113,861,632/242,284,609,458.40
  6. Step 6: Final answer
    x = 363,426,914,187.60

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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.