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Finding the Fourth Proportional to 407,275,715,348.10, 610,913,573,022.15 and 407,275,715,348.10

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Solution

The fourth proportional to 407,275,715,348.10, 610,913,573,022.15 and 407,275,715,348.10 is: 610,913,573,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,275,715,348.10 : 610,913,573,022.15 = 407,275,715,348.10 : x
  2. Step 2: Convert to fraction form
    407,275,715,348.10/610,913,573,022.15 = 407,275,715,348.10/x
  3. Step 3: Cross multiply
    407,275,715,348.10x = 610,913,573,022.15 × 407,275,715,348.10
  4. Step 4: Simplify right side
    407,275,715,348.10x = 248,810,262,468,459,858,231,296
  5. Step 5: Solve for x
    x = 248,810,262,468,459,858,231,296/407,275,715,348.10
  6. Step 6: Final answer
    x = 610,913,573,022.15

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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.