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Finding the Fourth Proportional to 242,555,784,004.06, 363,833,676,006.06 and 242,555,784,004.06

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Solution

The fourth proportional to 242,555,784,004.06, 363,833,676,006.06 and 242,555,784,004.06 is: 363,833,676,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,555,784,004.06 : 363,833,676,006.06 = 242,555,784,004.06 : x
  2. Step 2: Convert to fraction form
    242,555,784,004.06/363,833,676,006.06 = 242,555,784,004.06/x
  3. Step 3: Cross multiply
    242,555,784,004.06x = 363,833,676,006.06 × 242,555,784,004.06
  4. Step 4: Simplify right side
    242,555,784,004.06x = 88,249,962,530,729,038,446,592
  5. Step 5: Solve for x
    x = 88,249,962,530,729,038,446,592/242,555,784,004.06
  6. Step 6: Final answer
    x = 363,833,676,006.06

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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.